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Finding the Fourth Proportional to 15,318.56, 22,967.11 and 7,824.40

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Solution

The fourth proportional to 15,318.56, 22,967.11 and 7,824.40 is: 11,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,318.56 : 22,967.11 = 7,824.40 : x
  2. Step 2: Convert to fraction form
    15,318.56/22,967.11 = 7,824.40/x
  3. Step 3: Cross multiply
    15,318.56x = 22,967.11 × 7,824.40
  4. Step 4: Simplify right side
    15,318.56x = 179,703,855.48
  5. Step 5: Solve for x
    x = 179,703,855.48/15,318.56
  6. Step 6: Final answer
    x = 11,731.12

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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.