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Finding the Fourth Proportional to 21,706.66, 32,553.51 and 9,226.63

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Solution

The fourth proportional to 21,706.66, 32,553.51 and 9,226.63 is: 13,837.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.66 : 32,553.51 = 9,226.63 : x
  2. Step 2: Convert to fraction form
    21,706.66/32,553.51 = 9,226.63/x
  3. Step 3: Cross multiply
    21,706.66x = 32,553.51 × 9,226.63
  4. Step 4: Simplify right side
    21,706.66x = 300,359,191.97
  5. Step 5: Solve for x
    x = 300,359,191.97/21,706.66
  6. Step 6: Final answer
    x = 13,837.19

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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.