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Finding the Fourth Proportional to 24,971.59, 37,463.41 and 8,331.76

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Solution

The fourth proportional to 24,971.59, 37,463.41 and 8,331.76 is: 12,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971.59 : 37,463.41 = 8,331.76 : x
  2. Step 2: Convert to fraction form
    24,971.59/37,463.41 = 8,331.76/x
  3. Step 3: Cross multiply
    24,971.59x = 37,463.41 × 8,331.76
  4. Step 4: Simplify right side
    24,971.59x = 312,136,198.15
  5. Step 5: Solve for x
    x = 312,136,198.15/24,971.59
  6. Step 6: Final answer
    x = 12,499.65

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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.