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Finding the Fourth Proportional to 25,591.32, 35,307.90 and 14,411.16

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Solution

The fourth proportional to 25,591.32, 35,307.90 and 14,411.16 is: 19,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,591.32 : 35,307.90 = 14,411.16 : x
  2. Step 2: Convert to fraction form
    25,591.32/35,307.90 = 14,411.16/x
  3. Step 3: Cross multiply
    25,591.32x = 35,307.90 × 14,411.16
  4. Step 4: Simplify right side
    25,591.32x = 508,827,796.16
  5. Step 5: Solve for x
    x = 508,827,796.16/25,591.32
  6. Step 6: Final answer
    x = 19,882.83

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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.