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Finding the Fourth Proportional to 19,693.38, 29,539.64 and 6,545.88

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Solution

The fourth proportional to 19,693.38, 29,539.64 and 6,545.88 is: 9,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.38 : 29,539.64 = 6,545.88 : x
  2. Step 2: Convert to fraction form
    19,693.38/29,539.64 = 6,545.88/x
  3. Step 3: Cross multiply
    19,693.38x = 29,539.64 × 6,545.88
  4. Step 4: Simplify right side
    19,693.38x = 193,362,938.68
  5. Step 5: Solve for x
    x = 193,362,938.68/19,693.38
  6. Step 6: Final answer
    x = 9,818.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.