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Finding the Fourth Proportional to 19,928.90, 29,891.54 and 6,077.90

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Solution

The fourth proportional to 19,928.90, 29,891.54 and 6,077.90 is: 9,116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,928.90 : 29,891.54 = 6,077.90 : x
  2. Step 2: Convert to fraction form
    19,928.90/29,891.54 = 6,077.90/x
  3. Step 3: Cross multiply
    19,928.90x = 29,891.54 × 6,077.90
  4. Step 4: Simplify right side
    19,928.90x = 181,677,611.12
  5. Step 5: Solve for x
    x = 181,677,611.12/19,928.90
  6. Step 6: Final answer
    x = 9,116.29

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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.