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Finding the Fourth Proportional to 15,193.80, 22,777.18 and 8,177.60

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Solution

The fourth proportional to 15,193.80, 22,777.18 and 8,177.60 is: 12,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.80 : 22,777.18 = 8,177.60 : x
  2. Step 2: Convert to fraction form
    15,193.80/22,777.18 = 8,177.60/x
  3. Step 3: Cross multiply
    15,193.80x = 22,777.18 × 8,177.60
  4. Step 4: Simplify right side
    15,193.80x = 186,262,667.17
  5. Step 5: Solve for x
    x = 186,262,667.17/15,193.80
  6. Step 6: Final answer
    x = 12,259.12

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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.