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Finding the Fourth Proportional to 13,490.31, 18,616.72 and 7,522.36

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Solution

The fourth proportional to 13,490.31, 18,616.72 and 7,522.36 is: 10,380.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.31 : 18,616.72 = 7,522.36 : x
  2. Step 2: Convert to fraction form
    13,490.31/18,616.72 = 7,522.36/x
  3. Step 3: Cross multiply
    13,490.31x = 18,616.72 × 7,522.36
  4. Step 4: Simplify right side
    13,490.31x = 140,041,669.86
  5. Step 5: Solve for x
    x = 140,041,669.86/13,490.31
  6. Step 6: Final answer
    x = 10,380.91

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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.