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Finding the Fourth Proportional to 24,572.16, 33,914.16 and 13,962.24

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Solution

The fourth proportional to 24,572.16, 33,914.16 and 13,962.24 is: 19,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,572.16 : 33,914.16 = 13,962.24 : x
  2. Step 2: Convert to fraction form
    24,572.16/33,914.16 = 13,962.24/x
  3. Step 3: Cross multiply
    24,572.16x = 33,914.16 × 13,962.24
  4. Step 4: Simplify right side
    24,572.16x = 473,517,641.32
  5. Step 5: Solve for x
    x = 473,517,641.32/24,572.16
  6. Step 6: Final answer
    x = 19,270.49

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