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Finding the Fourth Proportional to 15,442.74, 21,311.46 and 9,390.96

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Solution

The fourth proportional to 15,442.74, 21,311.46 and 9,390.96 is: 12,959.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.74 : 21,311.46 = 9,390.96 : x
  2. Step 2: Convert to fraction form
    15,442.74/21,311.46 = 9,390.96/x
  3. Step 3: Cross multiply
    15,442.74x = 21,311.46 × 9,390.96
  4. Step 4: Simplify right side
    15,442.74x = 200,135,068.40
  5. Step 5: Solve for x
    x = 200,135,068.40/15,442.74
  6. Step 6: Final answer
    x = 12,959.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.