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Finding the Fourth Proportional to 24,014.23, 36,026.67 and 9,223.15

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Solution

The fourth proportional to 24,014.23, 36,026.67 and 9,223.15 is: 13,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,014.23 : 36,026.67 = 9,223.15 : x
  2. Step 2: Convert to fraction form
    24,014.23/36,026.67 = 9,223.15/x
  3. Step 3: Cross multiply
    24,014.23x = 36,026.67 × 9,223.15
  4. Step 4: Simplify right side
    24,014.23x = 332,279,381.41
  5. Step 5: Solve for x
    x = 332,279,381.41/24,014.23
  6. Step 6: Final answer
    x = 13,836.77

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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.