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Finding the Fourth Proportional to 15,586.53, 23,393.05 and 6,233.10

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Solution

The fourth proportional to 15,586.53, 23,393.05 and 6,233.10 is: 9,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586.53 : 23,393.05 = 6,233.10 : x
  2. Step 2: Convert to fraction form
    15,586.53/23,393.05 = 6,233.10/x
  3. Step 3: Cross multiply
    15,586.53x = 23,393.05 × 6,233.10
  4. Step 4: Simplify right side
    15,586.53x = 145,811,283.30
  5. Step 5: Solve for x
    x = 145,811,283.30/15,586.53
  6. Step 6: Final answer
    x = 9,354.96

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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.