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Finding the Fourth Proportional to 17,656.57, 24,366.21 and 9,698.97

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Solution

The fourth proportional to 17,656.57, 24,366.21 and 9,698.97 is: 13,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.57 : 24,366.21 = 9,698.97 : x
  2. Step 2: Convert to fraction form
    17,656.57/24,366.21 = 9,698.97/x
  3. Step 3: Cross multiply
    17,656.57x = 24,366.21 × 9,698.97
  4. Step 4: Simplify right side
    17,656.57x = 236,327,139.80
  5. Step 5: Solve for x
    x = 236,327,139.80/17,656.57
  6. Step 6: Final answer
    x = 13,384.66

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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.