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Finding the Fourth Proportional to 25,652.10, 38,477.73 and 8,121.90

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Solution

The fourth proportional to 25,652.10, 38,477.73 and 8,121.90 is: 12,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,652.10 : 38,477.73 = 8,121.90 : x
  2. Step 2: Convert to fraction form
    25,652.10/38,477.73 = 8,121.90/x
  3. Step 3: Cross multiply
    25,652.10x = 38,477.73 × 8,121.90
  4. Step 4: Simplify right side
    25,652.10x = 312,512,275.29
  5. Step 5: Solve for x
    x = 312,512,275.29/25,652.10
  6. Step 6: Final answer
    x = 12,182.72

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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.