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Finding the Fourth Proportional to 19,990.12, 29,980.08 and 5,947

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Solution

The fourth proportional to 19,990.12, 29,980.08 and 5,947 is: 8,918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,990.12 : 29,980.08 = 5,947 : x
  2. Step 2: Convert to fraction form
    19,990.12/29,980.08 = 5,947/x
  3. Step 3: Cross multiply
    19,990.12x = 29,980.08 × 5,947
  4. Step 4: Simplify right side
    19,990.12x = 178,291,535.76
  5. Step 5: Solve for x
    x = 178,291,535.76/19,990.12
  6. Step 6: Final answer
    x = 8,918.98

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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.