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Finding the Fourth Proportional to 19,693.26, 29,541.60 and 6,545.70

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Solution

The fourth proportional to 19,693.26, 29,541.60 and 6,545.70 is: 9,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.26 : 29,541.60 = 6,545.70 : x
  2. Step 2: Convert to fraction form
    19,693.26/29,541.60 = 6,545.70/x
  3. Step 3: Cross multiply
    19,693.26x = 29,541.60 × 6,545.70
  4. Step 4: Simplify right side
    19,693.26x = 193,370,451.12
  5. Step 5: Solve for x
    x = 193,370,451.12/19,693.26
  6. Step 6: Final answer
    x = 9,819.12

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Why These Related Problems?

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