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Finding the Fourth Proportional to 21,854.59, 32,786.76 and 6,271

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Solution

The fourth proportional to 21,854.59, 32,786.76 and 6,271 is: 9,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.59 : 32,786.76 = 6,271 : x
  2. Step 2: Convert to fraction form
    21,854.59/32,786.76 = 6,271/x
  3. Step 3: Cross multiply
    21,854.59x = 32,786.76 × 6,271
  4. Step 4: Simplify right side
    21,854.59x = 205,605,771.96
  5. Step 5: Solve for x
    x = 205,605,771.96/21,854.59
  6. Step 6: Final answer
    x = 9,407.90

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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.