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Finding the Fourth Proportional to 24,822.18, 37,225.35 and 8,178.48

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Solution

The fourth proportional to 24,822.18, 37,225.35 and 8,178.48 is: 12,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.18 : 37,225.35 = 8,178.48 : x
  2. Step 2: Convert to fraction form
    24,822.18/37,225.35 = 8,178.48/x
  3. Step 3: Cross multiply
    24,822.18x = 37,225.35 × 8,178.48
  4. Step 4: Simplify right side
    24,822.18x = 304,446,780.47
  5. Step 5: Solve for x
    x = 304,446,780.47/24,822.18
  6. Step 6: Final answer
    x = 12,265.11

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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.