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Finding the Fourth Proportional to 10,118.40, 15,177.60 and 9,729.60

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Solution

The fourth proportional to 10,118.40, 15,177.60 and 9,729.60 is: 14,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,118.40 : 15,177.60 = 9,729.60 : x
  2. Step 2: Convert to fraction form
    10,118.40/15,177.60 = 9,729.60/x
  3. Step 3: Cross multiply
    10,118.40x = 15,177.60 × 9,729.60
  4. Step 4: Simplify right side
    10,118.40x = 147,671,976.96
  5. Step 5: Solve for x
    x = 147,671,976.96/10,118.40
  6. Step 6: Final answer
    x = 14,594.40

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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.