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Finding the Fourth Proportional to 19,881.75, 29,822.81 and 6,030.75

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Solution

The fourth proportional to 19,881.75, 29,822.81 and 6,030.75 is: 9,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881.75 : 29,822.81 = 6,030.75 : x
  2. Step 2: Convert to fraction form
    19,881.75/29,822.81 = 6,030.75/x
  3. Step 3: Cross multiply
    19,881.75x = 29,822.81 × 6,030.75
  4. Step 4: Simplify right side
    19,881.75x = 179,853,881.25
  5. Step 5: Solve for x
    x = 179,853,881.25/19,881.75
  6. Step 6: Final answer
    x = 9,046.18

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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.