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Finding the Fourth Proportional to 24,742, 37,020 and 17,360.86

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Solution

The fourth proportional to 24,742, 37,020 and 17,360.86 is: 25,976.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742 : 37,020 = 17,360.86 : x
  2. Step 2: Convert to fraction form
    24,742/37,020 = 17,360.86/x
  3. Step 3: Cross multiply
    24,742x = 37,020 × 17,360.86
  4. Step 4: Simplify right side
    24,742x = 642,699,037.20
  5. Step 5: Solve for x
    x = 642,699,037.20/24,742
  6. Step 6: Final answer
    x = 25,976.03

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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.