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Finding the Fourth Proportional to 20,117.92, 30,184.08 and 10,259.68

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Solution

The fourth proportional to 20,117.92, 30,184.08 and 10,259.68 is: 15,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.92 : 30,184.08 = 10,259.68 : x
  2. Step 2: Convert to fraction form
    20,117.92/30,184.08 = 10,259.68/x
  3. Step 3: Cross multiply
    20,117.92x = 30,184.08 × 10,259.68
  4. Step 4: Simplify right side
    20,117.92x = 309,679,001.89
  5. Step 5: Solve for x
    x = 309,679,001.89/20,117.92
  6. Step 6: Final answer
    x = 15,393.19

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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.