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Finding the Fourth Proportional to 19,927.16, 29,851.84 and 15,524

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Solution

The fourth proportional to 19,927.16, 29,851.84 and 15,524 is: 23,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,927.16 : 29,851.84 = 15,524 : x
  2. Step 2: Convert to fraction form
    19,927.16/29,851.84 = 15,524/x
  3. Step 3: Cross multiply
    19,927.16x = 29,851.84 × 15,524
  4. Step 4: Simplify right side
    19,927.16x = 463,419,964.16
  5. Step 5: Solve for x
    x = 463,419,964.16/19,927.16
  6. Step 6: Final answer
    x = 23,255.70

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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.