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Finding the Fourth Proportional to 15,456.68, 23,154.78 and 7,641.80

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Solution

The fourth proportional to 15,456.68, 23,154.78 and 7,641.80 is: 11,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,456.68 : 23,154.78 = 7,641.80 : x
  2. Step 2: Convert to fraction form
    15,456.68/23,154.78 = 7,641.80/x
  3. Step 3: Cross multiply
    15,456.68x = 23,154.78 × 7,641.80
  4. Step 4: Simplify right side
    15,456.68x = 176,944,197.80
  5. Step 5: Solve for x
    x = 176,944,197.80/15,456.68
  6. Step 6: Final answer
    x = 11,447.75

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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.