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Finding the Fourth Proportional to 13,646.62, 18,830.10 and 9,177.85

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Solution

The fourth proportional to 13,646.62, 18,830.10 and 9,177.85 is: 12,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.62 : 18,830.10 = 9,177.85 : x
  2. Step 2: Convert to fraction form
    13,646.62/18,830.10 = 9,177.85/x
  3. Step 3: Cross multiply
    13,646.62x = 18,830.10 × 9,177.85
  4. Step 4: Simplify right side
    13,646.62x = 172,819,833.29
  5. Step 5: Solve for x
    x = 172,819,833.29/13,646.62
  6. Step 6: Final answer
    x = 12,663.93

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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.