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Finding the Fourth Proportional to 19,224.52, 28,853.82 and 9,871.08

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Solution

The fourth proportional to 19,224.52, 28,853.82 and 9,871.08 is: 14,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,224.52 : 28,853.82 = 9,871.08 : x
  2. Step 2: Convert to fraction form
    19,224.52/28,853.82 = 9,871.08/x
  3. Step 3: Cross multiply
    19,224.52x = 28,853.82 × 9,871.08
  4. Step 4: Simplify right side
    19,224.52x = 284,818,365.53
  5. Step 5: Solve for x
    x = 284,818,365.53/19,224.52
  6. Step 6: Final answer
    x = 14,815.37

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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.