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Finding the Fourth Proportional to 17,589.17, 24,275.36 and 10,033.76

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Solution

The fourth proportional to 17,589.17, 24,275.36 and 10,033.76 is: 13,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,589.17 : 24,275.36 = 10,033.76 : x
  2. Step 2: Convert to fraction form
    17,589.17/24,275.36 = 10,033.76/x
  3. Step 3: Cross multiply
    17,589.17x = 24,275.36 × 10,033.76
  4. Step 4: Simplify right side
    17,589.17x = 243,573,221.93
  5. Step 5: Solve for x
    x = 243,573,221.93/17,589.17
  6. Step 6: Final answer
    x = 13,847.91

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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.