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Finding the Fourth Proportional to 24,472.98, 33,771.78 and 13,862.88

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Solution

The fourth proportional to 24,472.98, 33,771.78 and 13,862.88 is: 19,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.98 : 33,771.78 = 13,862.88 : x
  2. Step 2: Convert to fraction form
    24,472.98/33,771.78 = 13,862.88/x
  3. Step 3: Cross multiply
    24,472.98x = 33,771.78 × 13,862.88
  4. Step 4: Simplify right side
    24,472.98x = 468,174,133.53
  5. Step 5: Solve for x
    x = 468,174,133.53/24,472.98
  6. Step 6: Final answer
    x = 19,130.25

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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.