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Finding the Fourth Proportional to 24,872.96, 37,314.80 and 8,232.15

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Solution

The fourth proportional to 24,872.96, 37,314.80 and 8,232.15 is: 12,350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.96 : 37,314.80 = 8,232.15 : x
  2. Step 2: Convert to fraction form
    24,872.96/37,314.80 = 8,232.15/x
  3. Step 3: Cross multiply
    24,872.96x = 37,314.80 × 8,232.15
  4. Step 4: Simplify right side
    24,872.96x = 307,181,051.40
  5. Step 5: Solve for x
    x = 307,181,051.40/24,872.96
  6. Step 6: Final answer
    x = 12,350.00

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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.