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Finding the Fourth Proportional to 21,758.50, 32,587.13 and 21,159.89

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Solution

The fourth proportional to 21,758.50, 32,587.13 and 21,159.89 is: 31,690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.50 : 32,587.13 = 21,159.89 : x
  2. Step 2: Convert to fraction form
    21,758.50/32,587.13 = 21,159.89/x
  3. Step 3: Cross multiply
    21,758.50x = 32,587.13 × 21,159.89
  4. Step 4: Simplify right side
    21,758.50x = 689,540,086.22
  5. Step 5: Solve for x
    x = 689,540,086.22/21,758.50
  6. Step 6: Final answer
    x = 31,690.61

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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.