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Finding the Fourth Proportional to 24,689.32, 34,072.02 and 13,511.56

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Solution

The fourth proportional to 24,689.32, 34,072.02 and 13,511.56 is: 18,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,689.32 : 34,072.02 = 13,511.56 : x
  2. Step 2: Convert to fraction form
    24,689.32/34,072.02 = 13,511.56/x
  3. Step 3: Cross multiply
    24,689.32x = 34,072.02 × 13,511.56
  4. Step 4: Simplify right side
    24,689.32x = 460,366,142.55
  5. Step 5: Solve for x
    x = 460,366,142.55/24,689.32
  6. Step 6: Final answer
    x = 18,646.37

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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.