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Finding the Fourth Proportional to 19,702.10, 27,188.52 and 10,749.38

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Solution

The fourth proportional to 19,702.10, 27,188.52 and 10,749.38 is: 14,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.10 : 27,188.52 = 10,749.38 : x
  2. Step 2: Convert to fraction form
    19,702.10/27,188.52 = 10,749.38/x
  3. Step 3: Cross multiply
    19,702.10x = 27,188.52 × 10,749.38
  4. Step 4: Simplify right side
    19,702.10x = 292,259,597.18
  5. Step 5: Solve for x
    x = 292,259,597.18/19,702.10
  6. Step 6: Final answer
    x = 14,833.94

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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.