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Finding the Fourth Proportional to 15,442.86, 21,311.16 and 8,369.28

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Solution

The fourth proportional to 15,442.86, 21,311.16 and 8,369.28 is: 11,549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.86 : 21,311.16 = 8,369.28 : x
  2. Step 2: Convert to fraction form
    15,442.86/21,311.16 = 8,369.28/x
  3. Step 3: Cross multiply
    15,442.86x = 21,311.16 × 8,369.28
  4. Step 4: Simplify right side
    15,442.86x = 178,359,065.16
  5. Step 5: Solve for x
    x = 178,359,065.16/15,442.86
  6. Step 6: Final answer
    x = 11,549.61

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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.