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Finding the Fourth Proportional to 24,409.52, 33,683.80 and 13,798.52

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Solution

The fourth proportional to 24,409.52, 33,683.80 and 13,798.52 is: 19,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.52 : 33,683.80 = 13,798.52 : x
  2. Step 2: Convert to fraction form
    24,409.52/33,683.80 = 13,798.52/x
  3. Step 3: Cross multiply
    24,409.52x = 33,683.80 × 13,798.52
  4. Step 4: Simplify right side
    24,409.52x = 464,786,587.98
  5. Step 5: Solve for x
    x = 464,786,587.98/24,409.52
  6. Step 6: Final answer
    x = 19,041.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.