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Finding the Fourth Proportional to 15,318.06, 22,966.36 and 7,823.90

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Solution

The fourth proportional to 15,318.06, 22,966.36 and 7,823.90 is: 11,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,318.06 : 22,966.36 = 7,823.90 : x
  2. Step 2: Convert to fraction form
    15,318.06/22,966.36 = 7,823.90/x
  3. Step 3: Cross multiply
    15,318.06x = 22,966.36 × 7,823.90
  4. Step 4: Simplify right side
    15,318.06x = 179,686,504.00
  5. Step 5: Solve for x
    x = 179,686,504.00/15,318.06
  6. Step 6: Final answer
    x = 11,730.37

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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.