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Finding the Fourth Proportional to 15,380.32, 23,062.28 and 7,966.40

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Solution

The fourth proportional to 15,380.32, 23,062.28 and 7,966.40 is: 11,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,380.32 : 23,062.28 = 7,966.40 : x
  2. Step 2: Convert to fraction form
    15,380.32/23,062.28 = 7,966.40/x
  3. Step 3: Cross multiply
    15,380.32x = 23,062.28 × 7,966.40
  4. Step 4: Simplify right side
    15,380.32x = 183,723,347.39
  5. Step 5: Solve for x
    x = 183,723,347.39/15,380.32
  6. Step 6: Final answer
    x = 11,945.35

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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.