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Finding the Fourth Proportional to 15,708.84, 23,564.98 and 6,818.06

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Solution

The fourth proportional to 15,708.84, 23,564.98 and 6,818.06 is: 10,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.84 : 23,564.98 = 6,818.06 : x
  2. Step 2: Convert to fraction form
    15,708.84/23,564.98 = 6,818.06/x
  3. Step 3: Cross multiply
    15,708.84x = 23,564.98 × 6,818.06
  4. Step 4: Simplify right side
    15,708.84x = 160,667,295.62
  5. Step 5: Solve for x
    x = 160,667,295.62/15,708.84
  6. Step 6: Final answer
    x = 10,227.83

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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.