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Finding the Fourth Proportional to 25,535.16, 38,302.74 and 8,006.40

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Solution

The fourth proportional to 25,535.16, 38,302.74 and 8,006.40 is: 12,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,535.16 : 38,302.74 = 8,006.40 : x
  2. Step 2: Convert to fraction form
    25,535.16/38,302.74 = 8,006.40/x
  3. Step 3: Cross multiply
    25,535.16x = 38,302.74 × 8,006.40
  4. Step 4: Simplify right side
    25,535.16x = 306,667,057.54
  5. Step 5: Solve for x
    x = 306,667,057.54/25,535.16
  6. Step 6: Final answer
    x = 12,009.60

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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.