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Finding the Fourth Proportional to 15,753.14, 21,740.07 and 9,378.29

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Solution

The fourth proportional to 15,753.14, 21,740.07 and 9,378.29 is: 12,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,753.14 : 21,740.07 = 9,378.29 : x
  2. Step 2: Convert to fraction form
    15,753.14/21,740.07 = 9,378.29/x
  3. Step 3: Cross multiply
    15,753.14x = 21,740.07 × 9,378.29
  4. Step 4: Simplify right side
    15,753.14x = 203,884,681.08
  5. Step 5: Solve for x
    x = 203,884,681.08/15,753.14
  6. Step 6: Final answer
    x = 12,942.48

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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.