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Finding the Fourth Proportional to 17,656.29, 24,363.05 and 9,698.85

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Solution

The fourth proportional to 17,656.29, 24,363.05 and 9,698.85 is: 13,382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.29 : 24,363.05 = 9,698.85 : x
  2. Step 2: Convert to fraction form
    17,656.29/24,363.05 = 9,698.85/x
  3. Step 3: Cross multiply
    17,656.29x = 24,363.05 × 9,698.85
  4. Step 4: Simplify right side
    17,656.29x = 236,293,519.00
  5. Step 5: Solve for x
    x = 236,293,519.00/17,656.29
  6. Step 6: Final answer
    x = 13,382.97

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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.