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Finding the Fourth Proportional to 24,827.51, 37,245.88 and 8,188.71

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Solution

The fourth proportional to 24,827.51, 37,245.88 and 8,188.71 is: 12,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.51 : 37,245.88 = 8,188.71 : x
  2. Step 2: Convert to fraction form
    24,827.51/37,245.88 = 8,188.71/x
  3. Step 3: Cross multiply
    24,827.51x = 37,245.88 × 8,188.71
  4. Step 4: Simplify right side
    24,827.51x = 304,995,744.03
  5. Step 5: Solve for x
    x = 304,995,744.03/24,827.51
  6. Step 6: Final answer
    x = 12,284.59

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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.