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Finding the Fourth Proportional to 15,788.40, 23,638.86 and 7,980.90

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Solution

The fourth proportional to 15,788.40, 23,638.86 and 7,980.90 is: 11,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,788.40 : 23,638.86 = 7,980.90 : x
  2. Step 2: Convert to fraction form
    15,788.40/23,638.86 = 7,980.90/x
  3. Step 3: Cross multiply
    15,788.40x = 23,638.86 × 7,980.90
  4. Step 4: Simplify right side
    15,788.40x = 188,659,377.77
  5. Step 5: Solve for x
    x = 188,659,377.77/15,788.40
  6. Step 6: Final answer
    x = 11,949.24

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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.