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Finding the Fourth Proportional to 16,421.78, 22,663.92 and 9,154.58

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Solution

The fourth proportional to 16,421.78, 22,663.92 and 9,154.58 is: 12,634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421.78 : 22,663.92 = 9,154.58 : x
  2. Step 2: Convert to fraction form
    16,421.78/22,663.92 = 9,154.58/x
  3. Step 3: Cross multiply
    16,421.78x = 22,663.92 × 9,154.58
  4. Step 4: Simplify right side
    16,421.78x = 207,478,668.75
  5. Step 5: Solve for x
    x = 207,478,668.75/16,421.78
  6. Step 6: Final answer
    x = 12,634.36

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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.