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Finding the Fourth Proportional to 21,737.84, 32,610.96 and 9,257.64

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Solution

The fourth proportional to 21,737.84, 32,610.96 and 9,257.64 is: 13,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,737.84 : 32,610.96 = 9,257.64 : x
  2. Step 2: Convert to fraction form
    21,737.84/32,610.96 = 9,257.64/x
  3. Step 3: Cross multiply
    21,737.84x = 32,610.96 × 9,257.64
  4. Step 4: Simplify right side
    21,737.84x = 301,900,527.73
  5. Step 5: Solve for x
    x = 301,900,527.73/21,737.84
  6. Step 6: Final answer
    x = 13,888.25

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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.