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Finding the Fourth Proportional to 15,708.34, 23,564.22 and 6,817.56

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Solution

The fourth proportional to 15,708.34, 23,564.22 and 6,817.56 is: 10,227.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.34 : 23,564.22 = 6,817.56 : x
  2. Step 2: Convert to fraction form
    15,708.34/23,564.22 = 6,817.56/x
  3. Step 3: Cross multiply
    15,708.34x = 23,564.22 × 6,817.56
  4. Step 4: Simplify right side
    15,708.34x = 160,650,382.93
  5. Step 5: Solve for x
    x = 160,650,382.93/15,708.34
  6. Step 6: Final answer
    x = 10,227.08

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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.