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Finding the Fourth Proportional to 14,265.59, 19,687.10 and 7,892.07

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Solution

The fourth proportional to 14,265.59, 19,687.10 and 7,892.07 is: 10,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265.59 : 19,687.10 = 7,892.07 : x
  2. Step 2: Convert to fraction form
    14,265.59/19,687.10 = 7,892.07/x
  3. Step 3: Cross multiply
    14,265.59x = 19,687.10 × 7,892.07
  4. Step 4: Simplify right side
    14,265.59x = 155,371,968.75
  5. Step 5: Solve for x
    x = 155,371,968.75/14,265.59
  6. Step 6: Final answer
    x = 10,891.38

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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.