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Finding the Fourth Proportional to 22,702.30, 31,311.41 and 14,747.08

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Solution

The fourth proportional to 22,702.30, 31,311.41 and 14,747.08 is: 20,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.30 : 31,311.41 = 14,747.08 : x
  2. Step 2: Convert to fraction form
    22,702.30/31,311.41 = 14,747.08/x
  3. Step 3: Cross multiply
    22,702.30x = 31,311.41 × 14,747.08
  4. Step 4: Simplify right side
    22,702.30x = 461,751,868.18
  5. Step 5: Solve for x
    x = 461,751,868.18/22,702.30
  6. Step 6: Final answer
    x = 20,339.44

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1.5x scale

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.