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Finding the Fourth Proportional to 15,708.72, 23,563.88 and 5,845.68

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Solution

The fourth proportional to 15,708.72, 23,563.88 and 5,845.68 is: 8,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.72 : 23,563.88 = 5,845.68 : x
  2. Step 2: Convert to fraction form
    15,708.72/23,563.88 = 5,845.68/x
  3. Step 3: Cross multiply
    15,708.72x = 23,563.88 × 5,845.68
  4. Step 4: Simplify right side
    15,708.72x = 137,746,902.04
  5. Step 5: Solve for x
    x = 137,746,902.04/15,708.72
  6. Step 6: Final answer
    x = 8,768.82

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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.