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Finding the Fourth Proportional to 21,701.40, 32,462.98 and 17,327.40

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Solution

The fourth proportional to 21,701.40, 32,462.98 and 17,327.40 is: 25,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,701.40 : 32,462.98 = 17,327.40 : x
  2. Step 2: Convert to fraction form
    21,701.40/32,462.98 = 17,327.40/x
  3. Step 3: Cross multiply
    21,701.40x = 32,462.98 × 17,327.40
  4. Step 4: Simplify right side
    21,701.40x = 562,499,039.65
  5. Step 5: Solve for x
    x = 562,499,039.65/21,701.40
  6. Step 6: Final answer
    x = 25,919.94

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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.