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Finding the Fourth Proportional to 15,380.33, 23,062.29 and 7,966.40

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Solution

The fourth proportional to 15,380.33, 23,062.29 and 7,966.40 is: 11,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,380.33 : 23,062.29 = 7,966.40 : x
  2. Step 2: Convert to fraction form
    15,380.33/23,062.29 = 7,966.40/x
  3. Step 3: Cross multiply
    15,380.33x = 23,062.29 × 7,966.40
  4. Step 4: Simplify right side
    15,380.33x = 183,723,271.91
  5. Step 5: Solve for x
    x = 183,723,271.91/15,380.33
  6. Step 6: Final answer
    x = 11,945.34

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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.