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Finding the Fourth Proportional to 25,535.46, 38,303.22 and 8,006.64

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Solution

The fourth proportional to 25,535.46, 38,303.22 and 8,006.64 is: 12,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,535.46 : 38,303.22 = 8,006.64 : x
  2. Step 2: Convert to fraction form
    25,535.46/38,303.22 = 8,006.64/x
  3. Step 3: Cross multiply
    25,535.46x = 38,303.22 × 8,006.64
  4. Step 4: Simplify right side
    25,535.46x = 306,680,093.38
  5. Step 5: Solve for x
    x = 306,680,093.38/25,535.46
  6. Step 6: Final answer
    x = 12,009.97

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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.