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Finding the Fourth Proportional to 21,779.38, 30,061.01 and 12,823.61

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Solution

The fourth proportional to 21,779.38, 30,061.01 and 12,823.61 is: 17,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,779.38 : 30,061.01 = 12,823.61 : x
  2. Step 2: Convert to fraction form
    21,779.38/30,061.01 = 12,823.61/x
  3. Step 3: Cross multiply
    21,779.38x = 30,061.01 × 12,823.61
  4. Step 4: Simplify right side
    21,779.38x = 385,490,604.33
  5. Step 5: Solve for x
    x = 385,490,604.33/21,779.38
  6. Step 6: Final answer
    x = 17,699.80

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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.