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Finding the Fourth Proportional to 17,686.69, 24,407.23 and 9,728.74

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Solution

The fourth proportional to 17,686.69, 24,407.23 and 9,728.74 is: 13,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.69 : 24,407.23 = 9,728.74 : x
  2. Step 2: Convert to fraction form
    17,686.69/24,407.23 = 9,728.74/x
  3. Step 3: Cross multiply
    17,686.69x = 24,407.23 × 9,728.74
  4. Step 4: Simplify right side
    17,686.69x = 237,451,594.79
  5. Step 5: Solve for x
    x = 237,451,594.79/17,686.69
  6. Step 6: Final answer
    x = 13,425.44

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