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Finding the Fourth Proportional to 21,849.59, 32,779.25 and 6,266

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Solution

The fourth proportional to 21,849.59, 32,779.25 and 6,266 is: 9,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849.59 : 32,779.25 = 6,266 : x
  2. Step 2: Convert to fraction form
    21,849.59/32,779.25 = 6,266/x
  3. Step 3: Cross multiply
    21,849.59x = 32,779.25 × 6,266
  4. Step 4: Simplify right side
    21,849.59x = 205,394,780.50
  5. Step 5: Solve for x
    x = 205,394,780.50/21,849.59
  6. Step 6: Final answer
    x = 9,400.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.