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Finding the Fourth Proportional to 19,987.80, 29,981.94 and 5,947.50

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Solution

The fourth proportional to 19,987.80, 29,981.94 and 5,947.50 is: 8,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,987.80 : 29,981.94 = 5,947.50 : x
  2. Step 2: Convert to fraction form
    19,987.80/29,981.94 = 5,947.50/x
  3. Step 3: Cross multiply
    19,987.80x = 29,981.94 × 5,947.50
  4. Step 4: Simplify right side
    19,987.80x = 178,317,588.15
  5. Step 5: Solve for x
    x = 178,317,588.15/19,987.80
  6. Step 6: Final answer
    x = 8,921.32

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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.