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Finding the Fourth Proportional to 21,877.15, 32,815.73 and 6,294.77

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Solution

The fourth proportional to 21,877.15, 32,815.73 and 6,294.77 is: 9,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.15 : 32,815.73 = 6,294.77 : x
  2. Step 2: Convert to fraction form
    21,877.15/32,815.73 = 6,294.77/x
  3. Step 3: Cross multiply
    21,877.15x = 32,815.73 × 6,294.77
  4. Step 4: Simplify right side
    21,877.15x = 206,567,523.30
  5. Step 5: Solve for x
    x = 206,567,523.30/21,877.15
  6. Step 6: Final answer
    x = 9,442.16

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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.