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Finding the Fourth Proportional to 24,409.56, 33,685 and 13,801.28

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Solution

The fourth proportional to 24,409.56, 33,685 and 13,801.28 is: 19,045.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.56 : 33,685 = 13,801.28 : x
  2. Step 2: Convert to fraction form
    24,409.56/33,685 = 13,801.28/x
  3. Step 3: Cross multiply
    24,409.56x = 33,685 × 13,801.28
  4. Step 4: Simplify right side
    24,409.56x = 464,896,116.80
  5. Step 5: Solve for x
    x = 464,896,116.80/24,409.56
  6. Step 6: Final answer
    x = 19,045.66

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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.