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Finding the Fourth Proportional to 17,902.56, 26,870.56 and 9,143.76

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Solution

The fourth proportional to 17,902.56, 26,870.56 and 9,143.76 is: 13,724.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,902.56 : 26,870.56 = 9,143.76 : x
  2. Step 2: Convert to fraction form
    17,902.56/26,870.56 = 9,143.76/x
  3. Step 3: Cross multiply
    17,902.56x = 26,870.56 × 9,143.76
  4. Step 4: Simplify right side
    17,902.56x = 245,697,951.71
  5. Step 5: Solve for x
    x = 245,697,951.71/17,902.56
  6. Step 6: Final answer
    x = 13,724.18

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