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Finding the Fourth Proportional to 15,334.16, 22,989.72 and 7,538.96

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Solution

The fourth proportional to 15,334.16, 22,989.72 and 7,538.96 is: 11,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,334.16 : 22,989.72 = 7,538.96 : x
  2. Step 2: Convert to fraction form
    15,334.16/22,989.72 = 7,538.96/x
  3. Step 3: Cross multiply
    15,334.16x = 22,989.72 × 7,538.96
  4. Step 4: Simplify right side
    15,334.16x = 173,318,579.49
  5. Step 5: Solve for x
    x = 173,318,579.49/15,334.16
  6. Step 6: Final answer
    x = 11,302.78

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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.