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Finding the Fourth Proportional to 16,142.47, 22,281.01 and 10,476.89

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Solution

The fourth proportional to 16,142.47, 22,281.01 and 10,476.89 is: 14,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.47 : 22,281.01 = 10,476.89 : x
  2. Step 2: Convert to fraction form
    16,142.47/22,281.01 = 10,476.89/x
  3. Step 3: Cross multiply
    16,142.47x = 22,281.01 × 10,476.89
  4. Step 4: Simplify right side
    16,142.47x = 233,435,690.86
  5. Step 5: Solve for x
    x = 233,435,690.86/16,142.47
  6. Step 6: Final answer
    x = 14,460.96

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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.