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Finding the Fourth Proportional to 21,408.94, 32,113.17 and 8,252.08

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Solution

The fourth proportional to 21,408.94, 32,113.17 and 8,252.08 is: 12,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.94 : 32,113.17 = 8,252.08 : x
  2. Step 2: Convert to fraction form
    21,408.94/32,113.17 = 8,252.08/x
  3. Step 3: Cross multiply
    21,408.94x = 32,113.17 × 8,252.08
  4. Step 4: Simplify right side
    21,408.94x = 265,000,447.89
  5. Step 5: Solve for x
    x = 265,000,447.89/21,408.94
  6. Step 6: Final answer
    x = 12,378.03

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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.