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Finding the Fourth Proportional to 23,215.90, 34,823.85 and 8,424.79

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Solution

The fourth proportional to 23,215.90, 34,823.85 and 8,424.79 is: 12,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,215.90 : 34,823.85 = 8,424.79 : x
  2. Step 2: Convert to fraction form
    23,215.90/34,823.85 = 8,424.79/x
  3. Step 3: Cross multiply
    23,215.90x = 34,823.85 × 8,424.79
  4. Step 4: Simplify right side
    23,215.90x = 293,383,581.12
  5. Step 5: Solve for x
    x = 293,383,581.12/23,215.90
  6. Step 6: Final answer
    x = 12,637.18

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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.