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Finding the Fourth Proportional to 25,753.84, 35,542.56 and 14,423.15

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Solution

The fourth proportional to 25,753.84, 35,542.56 and 14,423.15 is: 19,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,753.84 : 35,542.56 = 14,423.15 : x
  2. Step 2: Convert to fraction form
    25,753.84/35,542.56 = 14,423.15/x
  3. Step 3: Cross multiply
    25,753.84x = 35,542.56 × 14,423.15
  4. Step 4: Simplify right side
    25,753.84x = 512,635,602.15
  5. Step 5: Solve for x
    x = 512,635,602.15/25,753.84
  6. Step 6: Final answer
    x = 19,905.21

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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.