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Finding the Fourth Proportional to 24,409.32, 33,685.38 and 13,798.32

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Solution

The fourth proportional to 24,409.32, 33,685.38 and 13,798.32 is: 19,041.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.32 : 33,685.38 = 13,798.32 : x
  2. Step 2: Convert to fraction form
    24,409.32/33,685.38 = 13,798.32/x
  3. Step 3: Cross multiply
    24,409.32x = 33,685.38 × 13,798.32
  4. Step 4: Simplify right side
    24,409.32x = 464,801,652.56
  5. Step 5: Solve for x
    x = 464,801,652.56/24,409.32
  6. Step 6: Final answer
    x = 19,041.97

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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.