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Finding the Fourth Proportional to 17,680.95, 24,399.71 and 9,723.17

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Solution

The fourth proportional to 17,680.95, 24,399.71 and 9,723.17 is: 13,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.95 : 24,399.71 = 9,723.17 : x
  2. Step 2: Convert to fraction form
    17,680.95/24,399.71 = 9,723.17/x
  3. Step 3: Cross multiply
    17,680.95x = 24,399.71 × 9,723.17
  4. Step 4: Simplify right side
    17,680.95x = 237,242,357.67
  5. Step 5: Solve for x
    x = 237,242,357.67/17,680.95
  6. Step 6: Final answer
    x = 13,417.97

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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.