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Finding the Fourth Proportional to 15,788.50, 23,686.80 and 5,400.25

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Solution

The fourth proportional to 15,788.50, 23,686.80 and 5,400.25 is: 8,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,788.50 : 23,686.80 = 5,400.25 : x
  2. Step 2: Convert to fraction form
    15,788.50/23,686.80 = 5,400.25/x
  3. Step 3: Cross multiply
    15,788.50x = 23,686.80 × 5,400.25
  4. Step 4: Simplify right side
    15,788.50x = 127,914,641.70
  5. Step 5: Solve for x
    x = 127,914,641.70/15,788.50
  6. Step 6: Final answer
    x = 8,101.76

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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.