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Finding the Fourth Proportional to 25,574.56, 38,363.22 and 8,045.76

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Solution

The fourth proportional to 25,574.56, 38,363.22 and 8,045.76 is: 12,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.56 : 38,363.22 = 8,045.76 : x
  2. Step 2: Convert to fraction form
    25,574.56/38,363.22 = 8,045.76/x
  3. Step 3: Cross multiply
    25,574.56x = 38,363.22 × 8,045.76
  4. Step 4: Simplify right side
    25,574.56x = 308,661,260.95
  5. Step 5: Solve for x
    x = 308,661,260.95/25,574.56
  6. Step 6: Final answer
    x = 12,069.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.