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Finding the Fourth Proportional to 19,980.14, 29,969.49 and 4,987.34

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Solution

The fourth proportional to 19,980.14, 29,969.49 and 4,987.34 is: 7,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.14 : 29,969.49 = 4,987.34 : x
  2. Step 2: Convert to fraction form
    19,980.14/29,969.49 = 4,987.34/x
  3. Step 3: Cross multiply
    19,980.14x = 29,969.49 × 4,987.34
  4. Step 4: Simplify right side
    19,980.14x = 149,468,017.50
  5. Step 5: Solve for x
    x = 149,468,017.50/19,980.14
  6. Step 6: Final answer
    x = 7,480.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.