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Finding the Fourth Proportional to 16,586.48, 24,871.62 and 7,234.40

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Solution

The fourth proportional to 16,586.48, 24,871.62 and 7,234.40 is: 10,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.48 : 24,871.62 = 7,234.40 : x
  2. Step 2: Convert to fraction form
    16,586.48/24,871.62 = 7,234.40/x
  3. Step 3: Cross multiply
    16,586.48x = 24,871.62 × 7,234.40
  4. Step 4: Simplify right side
    16,586.48x = 179,931,247.73
  5. Step 5: Solve for x
    x = 179,931,247.73/16,586.48
  6. Step 6: Final answer
    x = 10,848.07

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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.