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Finding the Fourth Proportional to 15,580.68, 23,357.16 and 5,717.70

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Solution

The fourth proportional to 15,580.68, 23,357.16 and 5,717.70 is: 8,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580.68 : 23,357.16 = 5,717.70 : x
  2. Step 2: Convert to fraction form
    15,580.68/23,357.16 = 5,717.70/x
  3. Step 3: Cross multiply
    15,580.68x = 23,357.16 × 5,717.70
  4. Step 4: Simplify right side
    15,580.68x = 133,549,233.73
  5. Step 5: Solve for x
    x = 133,549,233.73/15,580.68
  6. Step 6: Final answer
    x = 8,571.46

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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.