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Finding the Fourth Proportional to 27,804, 38,369.52 and 15,229.02

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Solution

The fourth proportional to 27,804, 38,369.52 and 15,229.02 is: 21,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804 : 38,369.52 = 15,229.02 : x
  2. Step 2: Convert to fraction form
    27,804/38,369.52 = 15,229.02/x
  3. Step 3: Cross multiply
    27,804x = 38,369.52 × 15,229.02
  4. Step 4: Simplify right side
    27,804x = 584,330,187.47
  5. Step 5: Solve for x
    x = 584,330,187.47/27,804
  6. Step 6: Final answer
    x = 21,016.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.