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Finding the Fourth Proportional to 23,182.78, 34,758.81 and 8,389.75

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Solution

The fourth proportional to 23,182.78, 34,758.81 and 8,389.75 is: 12,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,182.78 : 34,758.81 = 8,389.75 : x
  2. Step 2: Convert to fraction form
    23,182.78/34,758.81 = 8,389.75/x
  3. Step 3: Cross multiply
    23,182.78x = 34,758.81 × 8,389.75
  4. Step 4: Simplify right side
    23,182.78x = 291,617,726.20
  5. Step 5: Solve for x
    x = 291,617,726.20/23,182.78
  6. Step 6: Final answer
    x = 12,579.07

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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.