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Finding the Fourth Proportional to 17,870.52, 24,659.34 and 9,910.76

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Solution

The fourth proportional to 17,870.52, 24,659.34 and 9,910.76 is: 13,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.52 : 24,659.34 = 9,910.76 : x
  2. Step 2: Convert to fraction form
    17,870.52/24,659.34 = 9,910.76/x
  3. Step 3: Cross multiply
    17,870.52x = 24,659.34 × 9,910.76
  4. Step 4: Simplify right side
    17,870.52x = 244,392,640.04
  5. Step 5: Solve for x
    x = 244,392,640.04/17,870.52
  6. Step 6: Final answer
    x = 13,675.74

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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.