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Finding the Fourth Proportional to 21,674.31, 32,510.97 and 9,987.53

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Solution

The fourth proportional to 21,674.31, 32,510.97 and 9,987.53 is: 14,981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.31 : 32,510.97 = 9,987.53 : x
  2. Step 2: Convert to fraction form
    21,674.31/32,510.97 = 9,987.53/x
  3. Step 3: Cross multiply
    21,674.31x = 32,510.97 × 9,987.53
  4. Step 4: Simplify right side
    21,674.31x = 324,704,217.09
  5. Step 5: Solve for x
    x = 324,704,217.09/21,674.31
  6. Step 6: Final answer
    x = 14,981.06

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1.5x scale

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.