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Finding the Fourth Proportional to 15,502.32, 23,255.00 and 6,141.96

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Solution

The fourth proportional to 15,502.32, 23,255.00 and 6,141.96 is: 9,213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502.32 : 23,255.00 = 6,141.96 : x
  2. Step 2: Convert to fraction form
    15,502.32/23,255.00 = 6,141.96/x
  3. Step 3: Cross multiply
    15,502.32x = 23,255.00 × 6,141.96
  4. Step 4: Simplify right side
    15,502.32x = 142,831,272.12
  5. Step 5: Solve for x
    x = 142,831,272.12/15,502.32
  6. Step 6: Final answer
    x = 9,213.54

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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.