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Finding the Fourth Proportional to 20,585.48, 30,875.34 and 6,545.48

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Solution

The fourth proportional to 20,585.48, 30,875.34 and 6,545.48 is: 9,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.48 : 30,875.34 = 6,545.48 : x
  2. Step 2: Convert to fraction form
    20,585.48/30,875.34 = 6,545.48/x
  3. Step 3: Cross multiply
    20,585.48x = 30,875.34 × 6,545.48
  4. Step 4: Simplify right side
    20,585.48x = 202,093,920.46
  5. Step 5: Solve for x
    x = 202,093,920.46/20,585.48
  6. Step 6: Final answer
    x = 9,817.30

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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.