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Finding the Fourth Proportional to 24,115.86, 36,174.06 and 6,586.02

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Solution

The fourth proportional to 24,115.86, 36,174.06 and 6,586.02 is: 9,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,115.86 : 36,174.06 = 6,586.02 : x
  2. Step 2: Convert to fraction form
    24,115.86/36,174.06 = 6,586.02/x
  3. Step 3: Cross multiply
    24,115.86x = 36,174.06 × 6,586.02
  4. Step 4: Simplify right side
    24,115.86x = 238,243,082.64
  5. Step 5: Solve for x
    x = 238,243,082.64/24,115.86
  6. Step 6: Final answer
    x = 9,879.10

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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.