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Finding the Fourth Proportional to 16,197.47, 22,352.51 and 9,123.89

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Solution

The fourth proportional to 16,197.47, 22,352.51 and 9,123.89 is: 12,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.47 : 22,352.51 = 9,123.89 : x
  2. Step 2: Convert to fraction form
    16,197.47/22,352.51 = 9,123.89/x
  3. Step 3: Cross multiply
    16,197.47x = 22,352.51 × 9,123.89
  4. Step 4: Simplify right side
    16,197.47x = 203,941,827.92
  5. Step 5: Solve for x
    x = 203,941,827.92/16,197.47
  6. Step 6: Final answer
    x = 12,590.97

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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.