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Finding the Fourth Proportional to 20,416, 30,631.29 and 10,035.04

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Solution

The fourth proportional to 20,416, 30,631.29 and 10,035.04 is: 15,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,416 : 30,631.29 = 10,035.04 : x
  2. Step 2: Convert to fraction form
    20,416/30,631.29 = 10,035.04/x
  3. Step 3: Cross multiply
    20,416x = 30,631.29 × 10,035.04
  4. Step 4: Simplify right side
    20,416x = 307,386,220.40
  5. Step 5: Solve for x
    x = 307,386,220.40/20,416
  6. Step 6: Final answer
    x = 15,056.14

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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.