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Finding the Fourth Proportional to 24,640.32, 34,006.80 and 14,033.76

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Solution

The fourth proportional to 24,640.32, 34,006.80 and 14,033.76 is: 19,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,640.32 : 34,006.80 = 14,033.76 : x
  2. Step 2: Convert to fraction form
    24,640.32/34,006.80 = 14,033.76/x
  3. Step 3: Cross multiply
    24,640.32x = 34,006.80 × 14,033.76
  4. Step 4: Simplify right side
    24,640.32x = 477,243,269.57
  5. Step 5: Solve for x
    x = 477,243,269.57/24,640.32
  6. Step 6: Final answer
    x = 19,368.39

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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.