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Finding the Fourth Proportional to 23,150, 34,726.72 and 9,299.04

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Solution

The fourth proportional to 23,150, 34,726.72 and 9,299.04 is: 13,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,150 : 34,726.72 = 9,299.04 : x
  2. Step 2: Convert to fraction form
    23,150/34,726.72 = 9,299.04/x
  3. Step 3: Cross multiply
    23,150x = 34,726.72 × 9,299.04
  4. Step 4: Simplify right side
    23,150x = 322,925,158.35
  5. Step 5: Solve for x
    x = 322,925,158.35/23,150
  6. Step 6: Final answer
    x = 13,949.25

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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.