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Finding the Fourth Proportional to 17,882.60, 24,681.80 and 10,330.16

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Solution

The fourth proportional to 17,882.60, 24,681.80 and 10,330.16 is: 14,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.60 : 24,681.80 = 10,330.16 : x
  2. Step 2: Convert to fraction form
    17,882.60/24,681.80 = 10,330.16/x
  3. Step 3: Cross multiply
    17,882.60x = 24,681.80 × 10,330.16
  4. Step 4: Simplify right side
    17,882.60x = 254,966,943.09
  5. Step 5: Solve for x
    x = 254,966,943.09/17,882.60
  6. Step 6: Final answer
    x = 14,257.82

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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.