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Finding the Fourth Proportional to 20,702.38, 28,569.35 and 11,271

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Solution

The fourth proportional to 20,702.38, 28,569.35 and 11,271 is: 15,554.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.38 : 28,569.35 = 11,271 : x
  2. Step 2: Convert to fraction form
    20,702.38/28,569.35 = 11,271/x
  3. Step 3: Cross multiply
    20,702.38x = 28,569.35 × 11,271
  4. Step 4: Simplify right side
    20,702.38x = 322,005,143.85
  5. Step 5: Solve for x
    x = 322,005,143.85/20,702.38
  6. Step 6: Final answer
    x = 15,554.02

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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.