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Finding the Fourth Proportional to 16,097.20, 24,138.60 and 7,327.60

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Solution

The fourth proportional to 16,097.20, 24,138.60 and 7,327.60 is: 10,988.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.20 : 24,138.60 = 7,327.60 : x
  2. Step 2: Convert to fraction form
    16,097.20/24,138.60 = 7,327.60/x
  3. Step 3: Cross multiply
    16,097.20x = 24,138.60 × 7,327.60
  4. Step 4: Simplify right side
    16,097.20x = 176,878,005.36
  5. Step 5: Solve for x
    x = 176,878,005.36/16,097.20
  6. Step 6: Final answer
    x = 10,988.12

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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.