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Finding the Fourth Proportional to 19,728.88, 29,585.16 and 8,034.16

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Solution

The fourth proportional to 19,728.88, 29,585.16 and 8,034.16 is: 12,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728.88 : 29,585.16 = 8,034.16 : x
  2. Step 2: Convert to fraction form
    19,728.88/29,585.16 = 8,034.16/x
  3. Step 3: Cross multiply
    19,728.88x = 29,585.16 × 8,034.16
  4. Step 4: Simplify right side
    19,728.88x = 237,691,909.07
  5. Step 5: Solve for x
    x = 237,691,909.07/19,728.88
  6. Step 6: Final answer
    x = 12,047.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.