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Finding the Fourth Proportional to 16,175.60, 24,258.60 and 6,309.20

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Solution

The fourth proportional to 16,175.60, 24,258.60 and 6,309.20 is: 9,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.60 : 24,258.60 = 6,309.20 : x
  2. Step 2: Convert to fraction form
    16,175.60/24,258.60 = 6,309.20/x
  3. Step 3: Cross multiply
    16,175.60x = 24,258.60 × 6,309.20
  4. Step 4: Simplify right side
    16,175.60x = 153,052,359.12
  5. Step 5: Solve for x
    x = 153,052,359.12/16,175.60
  6. Step 6: Final answer
    x = 9,461.93

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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.