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Finding the Fourth Proportional to 16,516.25, 22,793.54 and 9,346.16

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Solution

The fourth proportional to 16,516.25, 22,793.54 and 9,346.16 is: 12,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.25 : 22,793.54 = 9,346.16 : x
  2. Step 2: Convert to fraction form
    16,516.25/22,793.54 = 9,346.16/x
  3. Step 3: Cross multiply
    16,516.25x = 22,793.54 × 9,346.16
  4. Step 4: Simplify right side
    16,516.25x = 213,031,911.11
  5. Step 5: Solve for x
    x = 213,031,911.11/16,516.25
  6. Step 6: Final answer
    x = 12,898.33

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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.