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Finding the Fourth Proportional to 19,683.90, 29,529.90 and 6,545.70

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Solution

The fourth proportional to 19,683.90, 29,529.90 and 6,545.70 is: 9,819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.90 : 29,529.90 = 6,545.70 : x
  2. Step 2: Convert to fraction form
    19,683.90/29,529.90 = 6,545.70/x
  3. Step 3: Cross multiply
    19,683.90x = 29,529.90 × 6,545.70
  4. Step 4: Simplify right side
    19,683.90x = 193,293,866.43
  5. Step 5: Solve for x
    x = 193,293,866.43/19,683.90
  6. Step 6: Final answer
    x = 9,819.90

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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.