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Finding the Fourth Proportional to 17,652.46, 24,360.54 and 9,694.74

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Solution

The fourth proportional to 17,652.46, 24,360.54 and 9,694.74 is: 13,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,652.46 : 24,360.54 = 9,694.74 : x
  2. Step 2: Convert to fraction form
    17,652.46/24,360.54 = 9,694.74/x
  3. Step 3: Cross multiply
    17,652.46x = 24,360.54 × 9,694.74
  4. Step 4: Simplify right side
    17,652.46x = 236,169,101.56
  5. Step 5: Solve for x
    x = 236,169,101.56/17,652.46
  6. Step 6: Final answer
    x = 13,378.82

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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.