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Finding the Fourth Proportional to 17,691.60, 24,414.36 and 10,618

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Solution

The fourth proportional to 17,691.60, 24,414.36 and 10,618 is: 14,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691.60 : 24,414.36 = 10,618 : x
  2. Step 2: Convert to fraction form
    17,691.60/24,414.36 = 10,618/x
  3. Step 3: Cross multiply
    17,691.60x = 24,414.36 × 10,618
  4. Step 4: Simplify right side
    17,691.60x = 259,231,674.48
  5. Step 5: Solve for x
    x = 259,231,674.48/17,691.60
  6. Step 6: Final answer
    x = 14,652.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.