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Finding the Fourth Proportional to 24,213.34, 33,417.12 and 14,658.49

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Solution

The fourth proportional to 24,213.34, 33,417.12 and 14,658.49 is: 20,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213.34 : 33,417.12 = 14,658.49 : x
  2. Step 2: Convert to fraction form
    24,213.34/33,417.12 = 14,658.49/x
  3. Step 3: Cross multiply
    24,213.34x = 33,417.12 × 14,658.49
  4. Step 4: Simplify right side
    24,213.34x = 489,844,506.15
  5. Step 5: Solve for x
    x = 489,844,506.15/24,213.34
  6. Step 6: Final answer
    x = 20,230.36

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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.