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Finding the Fourth Proportional to 24,122.74, 33,290.13 and 13,509.94

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Solution

The fourth proportional to 24,122.74, 33,290.13 and 13,509.94 is: 18,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,122.74 : 33,290.13 = 13,509.94 : x
  2. Step 2: Convert to fraction form
    24,122.74/33,290.13 = 13,509.94/x
  3. Step 3: Cross multiply
    24,122.74x = 33,290.13 × 13,509.94
  4. Step 4: Simplify right side
    24,122.74x = 449,747,658.89
  5. Step 5: Solve for x
    x = 449,747,658.89/24,122.74
  6. Step 6: Final answer
    x = 18,644.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.