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Finding the Fourth Proportional to 24,711, 36,973.50 and 17,329.86

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Solution

The fourth proportional to 24,711, 36,973.50 and 17,329.86 is: 25,929.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711 : 36,973.50 = 17,329.86 : x
  2. Step 2: Convert to fraction form
    24,711/36,973.50 = 17,329.86/x
  3. Step 3: Cross multiply
    24,711x = 36,973.50 × 17,329.86
  4. Step 4: Simplify right side
    24,711x = 640,745,578.71
  5. Step 5: Solve for x
    x = 640,745,578.71/24,711
  6. Step 6: Final answer
    x = 25,929.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.