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Finding the Fourth Proportional to 17,637.80, 24,340.46 and 9,680.77

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Solution

The fourth proportional to 17,637.80, 24,340.46 and 9,680.77 is: 13,359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.80 : 24,340.46 = 9,680.77 : x
  2. Step 2: Convert to fraction form
    17,637.80/24,340.46 = 9,680.77/x
  3. Step 3: Cross multiply
    17,637.80x = 24,340.46 × 9,680.77
  4. Step 4: Simplify right side
    17,637.80x = 235,634,285.70
  5. Step 5: Solve for x
    x = 235,634,285.70/17,637.80
  6. Step 6: Final answer
    x = 13,359.62

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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.