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Finding the Fourth Proportional to 24,652.50, 36,970.92 and 8,008.68

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Solution

The fourth proportional to 24,652.50, 36,970.92 and 8,008.68 is: 12,010.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.50 : 36,970.92 = 8,008.68 : x
  2. Step 2: Convert to fraction form
    24,652.50/36,970.92 = 8,008.68/x
  3. Step 3: Cross multiply
    24,652.50x = 36,970.92 × 8,008.68
  4. Step 4: Simplify right side
    24,652.50x = 296,088,267.59
  5. Step 5: Solve for x
    x = 296,088,267.59/24,652.50
  6. Step 6: Final answer
    x = 12,010.48

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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.