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Finding the Fourth Proportional to 17,686.44, 24,406.88 and 9,728.50

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Solution

The fourth proportional to 17,686.44, 24,406.88 and 9,728.50 is: 13,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.44 : 24,406.88 = 9,728.50 : x
  2. Step 2: Convert to fraction form
    17,686.44/24,406.88 = 9,728.50/x
  3. Step 3: Cross multiply
    17,686.44x = 24,406.88 × 9,728.50
  4. Step 4: Simplify right side
    17,686.44x = 237,442,295.38
  5. Step 5: Solve for x
    x = 237,442,295.38/17,686.44
  6. Step 6: Final answer
    x = 13,425.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.