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Finding the Fourth Proportional to 16,295.15, 24,442.91 and 5,201.78

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Solution

The fourth proportional to 16,295.15, 24,442.91 and 5,201.78 is: 7,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,295.15 : 24,442.91 = 5,201.78 : x
  2. Step 2: Convert to fraction form
    16,295.15/24,442.91 = 5,201.78/x
  3. Step 3: Cross multiply
    16,295.15x = 24,442.91 × 5,201.78
  4. Step 4: Simplify right side
    16,295.15x = 127,146,531.17
  5. Step 5: Solve for x
    x = 127,146,531.17/16,295.15
  6. Step 6: Final answer
    x = 7,802.72

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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.