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Finding the Fourth Proportional to 20,007.04, 29,989 and 10,147.12

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Solution

The fourth proportional to 20,007.04, 29,989 and 10,147.12 is: 15,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007.04 : 29,989 = 10,147.12 : x
  2. Step 2: Convert to fraction form
    20,007.04/29,989 = 10,147.12/x
  3. Step 3: Cross multiply
    20,007.04x = 29,989 × 10,147.12
  4. Step 4: Simplify right side
    20,007.04x = 304,301,981.68
  5. Step 5: Solve for x
    x = 304,301,981.68/20,007.04
  6. Step 6: Final answer
    x = 15,209.75

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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.