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Finding the Fourth Proportional to 20,105.54, 30,117.98 and 9,585.74

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Solution

The fourth proportional to 20,105.54, 30,117.98 and 9,585.74 is: 14,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.54 : 30,117.98 = 9,585.74 : x
  2. Step 2: Convert to fraction form
    20,105.54/30,117.98 = 9,585.74/x
  3. Step 3: Cross multiply
    20,105.54x = 30,117.98 × 9,585.74
  4. Step 4: Simplify right side
    20,105.54x = 288,703,125.61
  5. Step 5: Solve for x
    x = 288,703,125.61/20,105.54
  6. Step 6: Final answer
    x = 14,359.38

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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.