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Finding the Fourth Proportional to 15,766.40, 23,660.40 and 8,746.40

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Solution

The fourth proportional to 15,766.40, 23,660.40 and 8,746.40 is: 13,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,766.40 : 23,660.40 = 8,746.40 : x
  2. Step 2: Convert to fraction form
    15,766.40/23,660.40 = 8,746.40/x
  3. Step 3: Cross multiply
    15,766.40x = 23,660.40 × 8,746.40
  4. Step 4: Simplify right side
    15,766.40x = 206,943,322.56
  5. Step 5: Solve for x
    x = 206,943,322.56/15,766.40
  6. Step 6: Final answer
    x = 13,125.59

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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.