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Finding the Fourth Proportional to 15,772.34, 23,658.52 and 8,851.70

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Solution

The fourth proportional to 15,772.34, 23,658.52 and 8,851.70 is: 13,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.34 : 23,658.52 = 8,851.70 : x
  2. Step 2: Convert to fraction form
    15,772.34/23,658.52 = 8,851.70/x
  3. Step 3: Cross multiply
    15,772.34x = 23,658.52 × 8,851.70
  4. Step 4: Simplify right side
    15,772.34x = 209,418,121.48
  5. Step 5: Solve for x
    x = 209,418,121.48/15,772.34
  6. Step 6: Final answer
    x = 13,277.56

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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.