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Finding the Fourth Proportional to 19,986.80, 29,980.44 and 5,946.50

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Solution

The fourth proportional to 19,986.80, 29,980.44 and 5,946.50 is: 8,919.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,986.80 : 29,980.44 = 5,946.50 : x
  2. Step 2: Convert to fraction form
    19,986.80/29,980.44 = 5,946.50/x
  3. Step 3: Cross multiply
    19,986.80x = 29,980.44 × 5,946.50
  4. Step 4: Simplify right side
    19,986.80x = 178,278,686.46
  5. Step 5: Solve for x
    x = 178,278,686.46/19,986.80
  6. Step 6: Final answer
    x = 8,919.82

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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.