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Finding the Fourth Proportional to 25,523.29, 35,224.13 and 15,314.71

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Solution

The fourth proportional to 25,523.29, 35,224.13 and 15,314.71 is: 21,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,523.29 : 35,224.13 = 15,314.71 : x
  2. Step 2: Convert to fraction form
    25,523.29/35,224.13 = 15,314.71/x
  3. Step 3: Cross multiply
    25,523.29x = 35,224.13 × 15,314.71
  4. Step 4: Simplify right side
    25,523.29x = 539,447,335.95
  5. Step 5: Solve for x
    x = 539,447,335.95/25,523.29
  6. Step 6: Final answer
    x = 21,135.49

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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.