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Finding the Fourth Proportional to 21,810.78, 32,716.16 and 7,020.86

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Solution

The fourth proportional to 21,810.78, 32,716.16 and 7,020.86 is: 10,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,810.78 : 32,716.16 = 7,020.86 : x
  2. Step 2: Convert to fraction form
    21,810.78/32,716.16 = 7,020.86/x
  3. Step 3: Cross multiply
    21,810.78x = 32,716.16 × 7,020.86
  4. Step 4: Simplify right side
    21,810.78x = 229,695,380.41
  5. Step 5: Solve for x
    x = 229,695,380.41/21,810.78
  6. Step 6: Final answer
    x = 10,531.28

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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.