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Finding the Fourth Proportional to 21,050, 31,575.88 and 8,569.80

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Solution

The fourth proportional to 21,050, 31,575.88 and 8,569.80 is: 12,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,050 : 31,575.88 = 8,569.80 : x
  2. Step 2: Convert to fraction form
    21,050/31,575.88 = 8,569.80/x
  3. Step 3: Cross multiply
    21,050x = 31,575.88 × 8,569.80
  4. Step 4: Simplify right side
    21,050x = 270,598,976.42
  5. Step 5: Solve for x
    x = 270,598,976.42/21,050
  6. Step 6: Final answer
    x = 12,855.06

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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.