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Finding the Fourth Proportional to 16,358.90, 22,573.59 and 9,189.62

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Solution

The fourth proportional to 16,358.90, 22,573.59 and 9,189.62 is: 12,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,358.90 : 22,573.59 = 9,189.62 : x
  2. Step 2: Convert to fraction form
    16,358.90/22,573.59 = 9,189.62/x
  3. Step 3: Cross multiply
    16,358.90x = 22,573.59 × 9,189.62
  4. Step 4: Simplify right side
    16,358.90x = 207,442,601.27
  5. Step 5: Solve for x
    x = 207,442,601.27/16,358.90
  6. Step 6: Final answer
    x = 12,680.72

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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.