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Finding the Fourth Proportional to 25,821.84, 38,732.76 and 8,303.97

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Solution

The fourth proportional to 25,821.84, 38,732.76 and 8,303.97 is: 12,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,821.84 : 38,732.76 = 8,303.97 : x
  2. Step 2: Convert to fraction form
    25,821.84/38,732.76 = 8,303.97/x
  3. Step 3: Cross multiply
    25,821.84x = 38,732.76 × 8,303.97
  4. Step 4: Simplify right side
    25,821.84x = 321,635,677.06
  5. Step 5: Solve for x
    x = 321,635,677.06/25,821.84
  6. Step 6: Final answer
    x = 12,455.96

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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.