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Finding the Fourth Proportional to 17,606.61, 24,297.12 and 9,648.86

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Solution

The fourth proportional to 17,606.61, 24,297.12 and 9,648.86 is: 13,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,606.61 : 24,297.12 = 9,648.86 : x
  2. Step 2: Convert to fraction form
    17,606.61/24,297.12 = 9,648.86/x
  3. Step 3: Cross multiply
    17,606.61x = 24,297.12 × 9,648.86
  4. Step 4: Simplify right side
    17,606.61x = 234,439,387.80
  5. Step 5: Solve for x
    x = 234,439,387.80/17,606.61
  6. Step 6: Final answer
    x = 13,315.42

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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.