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Finding the Fourth Proportional to 21,102.74, 31,665.12 and 15,307.20

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Solution

The fourth proportional to 21,102.74, 31,665.12 and 15,307.20 is: 22,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.74 : 31,665.12 = 15,307.20 : x
  2. Step 2: Convert to fraction form
    21,102.74/31,665.12 = 15,307.20/x
  3. Step 3: Cross multiply
    21,102.74x = 31,665.12 × 15,307.20
  4. Step 4: Simplify right side
    21,102.74x = 484,704,324.86
  5. Step 5: Solve for x
    x = 484,704,324.86/21,102.74
  6. Step 6: Final answer
    x = 22,968.79

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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.