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Finding the Fourth Proportional to 24,711.82, 37,068.84 and 8,072.87

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Solution

The fourth proportional to 24,711.82, 37,068.84 and 8,072.87 is: 12,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711.82 : 37,068.84 = 8,072.87 : x
  2. Step 2: Convert to fraction form
    24,711.82/37,068.84 = 8,072.87/x
  3. Step 3: Cross multiply
    24,711.82x = 37,068.84 × 8,072.87
  4. Step 4: Simplify right side
    24,711.82x = 299,251,741.03
  5. Step 5: Solve for x
    x = 299,251,741.03/24,711.82
  6. Step 6: Final answer
    x = 12,109.66

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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.