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Finding the Fourth Proportional to 25,673.74, 38,510.30 and 8,143.72

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Solution

The fourth proportional to 25,673.74, 38,510.30 and 8,143.72 is: 12,215.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,673.74 : 38,510.30 = 8,143.72 : x
  2. Step 2: Convert to fraction form
    25,673.74/38,510.30 = 8,143.72/x
  3. Step 3: Cross multiply
    25,673.74x = 38,510.30 × 8,143.72
  4. Step 4: Simplify right side
    25,673.74x = 313,617,100.32
  5. Step 5: Solve for x
    x = 313,617,100.32/25,673.74
  6. Step 6: Final answer
    x = 12,215.48

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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.