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Finding the Fourth Proportional to 15,816.12, 23,705.91 and 5,949.11

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Solution

The fourth proportional to 15,816.12, 23,705.91 and 5,949.11 is: 8,916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,816.12 : 23,705.91 = 5,949.11 : x
  2. Step 2: Convert to fraction form
    15,816.12/23,705.91 = 5,949.11/x
  3. Step 3: Cross multiply
    15,816.12x = 23,705.91 × 5,949.11
  4. Step 4: Simplify right side
    15,816.12x = 141,028,947.71
  5. Step 5: Solve for x
    x = 141,028,947.71/15,816.12
  6. Step 6: Final answer
    x = 8,916.79

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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.