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Finding the Fourth Proportional to 24,822.63, 37,225.92 and 8,178.71

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Solution

The fourth proportional to 24,822.63, 37,225.92 and 8,178.71 is: 12,265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.63 : 37,225.92 = 8,178.71 : x
  2. Step 2: Convert to fraction form
    24,822.63/37,225.92 = 8,178.71/x
  3. Step 3: Cross multiply
    24,822.63x = 37,225.92 × 8,178.71
  4. Step 4: Simplify right side
    24,822.63x = 304,459,818.03
  5. Step 5: Solve for x
    x = 304,459,818.03/24,822.63
  6. Step 6: Final answer
    x = 12,265.41

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1.5x scale

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.