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Finding the Fourth Proportional to 24,742, 34,143.96 and 13,564

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Solution

The fourth proportional to 24,742, 34,143.96 and 13,564 is: 18,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742 : 34,143.96 = 13,564 : x
  2. Step 2: Convert to fraction form
    24,742/34,143.96 = 13,564/x
  3. Step 3: Cross multiply
    24,742x = 34,143.96 × 13,564
  4. Step 4: Simplify right side
    24,742x = 463,128,673.44
  5. Step 5: Solve for x
    x = 463,128,673.44/24,742
  6. Step 6: Final answer
    x = 18,718.32

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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.