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Finding the Fourth Proportional to 24,866.46, 34,311.74 and 14,254.11

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Solution

The fourth proportional to 24,866.46, 34,311.74 and 14,254.11 is: 19,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,866.46 : 34,311.74 = 14,254.11 : x
  2. Step 2: Convert to fraction form
    24,866.46/34,311.74 = 14,254.11/x
  3. Step 3: Cross multiply
    24,866.46x = 34,311.74 × 14,254.11
  4. Step 4: Simplify right side
    24,866.46x = 489,083,244.98
  5. Step 5: Solve for x
    x = 489,083,244.98/24,866.46
  6. Step 6: Final answer
    x = 19,668.39

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Why These Related Problems?

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