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Finding the Fourth Proportional to 17,708.76, 26,543.70 and 6,013.17

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Solution

The fourth proportional to 17,708.76, 26,543.70 and 6,013.17 is: 9,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,708.76 : 26,543.70 = 6,013.17 : x
  2. Step 2: Convert to fraction form
    17,708.76/26,543.70 = 6,013.17/x
  3. Step 3: Cross multiply
    17,708.76x = 26,543.70 × 6,013.17
  4. Step 4: Simplify right side
    17,708.76x = 159,611,780.53
  5. Step 5: Solve for x
    x = 159,611,780.53/17,708.76
  6. Step 6: Final answer
    x = 9,013.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.