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Finding the Fourth Proportional to 24,876.80, 37,314.40 and 8,237.60

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Solution

The fourth proportional to 24,876.80, 37,314.40 and 8,237.60 is: 12,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876.80 : 37,314.40 = 8,237.60 : x
  2. Step 2: Convert to fraction form
    24,876.80/37,314.40 = 8,237.60/x
  3. Step 3: Cross multiply
    24,876.80x = 37,314.40 × 8,237.60
  4. Step 4: Simplify right side
    24,876.80x = 307,381,101.44
  5. Step 5: Solve for x
    x = 307,381,101.44/24,876.80
  6. Step 6: Final answer
    x = 12,356.14

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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.