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Finding the Fourth Proportional to 24,927.20, 37,382.71 and 8,282.76

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Solution

The fourth proportional to 24,927.20, 37,382.71 and 8,282.76 is: 12,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,927.20 : 37,382.71 = 8,282.76 : x
  2. Step 2: Convert to fraction form
    24,927.20/37,382.71 = 8,282.76/x
  3. Step 3: Cross multiply
    24,927.20x = 37,382.71 × 8,282.76
  4. Step 4: Simplify right side
    24,927.20x = 309,631,973.67
  5. Step 5: Solve for x
    x = 309,631,973.67/24,927.20
  6. Step 6: Final answer
    x = 12,421.45

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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.