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Finding the Fourth Proportional to 17,766.47, 24,517.58 and 9,700.05

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Solution

The fourth proportional to 17,766.47, 24,517.58 and 9,700.05 is: 13,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.47 : 24,517.58 = 9,700.05 : x
  2. Step 2: Convert to fraction form
    17,766.47/24,517.58 = 9,700.05/x
  3. Step 3: Cross multiply
    17,766.47x = 24,517.58 × 9,700.05
  4. Step 4: Simplify right side
    17,766.47x = 237,821,703.38
  5. Step 5: Solve for x
    x = 237,821,703.38/17,766.47
  6. Step 6: Final answer
    x = 13,385.99

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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.