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Finding the Fourth Proportional to 16,494.71, 22,765.75 and 9,421.14

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Solution

The fourth proportional to 16,494.71, 22,765.75 and 9,421.14 is: 13,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.71 : 22,765.75 = 9,421.14 : x
  2. Step 2: Convert to fraction form
    16,494.71/22,765.75 = 9,421.14/x
  3. Step 3: Cross multiply
    16,494.71x = 22,765.75 × 9,421.14
  4. Step 4: Simplify right side
    16,494.71x = 214,479,317.96
  5. Step 5: Solve for x
    x = 214,479,317.96/16,494.71
  6. Step 6: Final answer
    x = 13,002.92

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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.