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Finding the Fourth Proportional to 21,525.74, 32,282.33 and 8,374.99

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Solution

The fourth proportional to 21,525.74, 32,282.33 and 8,374.99 is: 12,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,525.74 : 32,282.33 = 8,374.99 : x
  2. Step 2: Convert to fraction form
    21,525.74/32,282.33 = 8,374.99/x
  3. Step 3: Cross multiply
    21,525.74x = 32,282.33 × 8,374.99
  4. Step 4: Simplify right side
    21,525.74x = 270,364,029.52
  5. Step 5: Solve for x
    x = 270,364,029.52/21,525.74
  6. Step 6: Final answer
    x = 12,560.03

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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.