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Finding the Fourth Proportional to 21,441.46, 32,164.36 and 7,399.84

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Solution

The fourth proportional to 21,441.46, 32,164.36 and 7,399.84 is: 11,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,441.46 : 32,164.36 = 7,399.84 : x
  2. Step 2: Convert to fraction form
    21,441.46/32,164.36 = 7,399.84/x
  3. Step 3: Cross multiply
    21,441.46x = 32,164.36 × 7,399.84
  4. Step 4: Simplify right side
    21,441.46x = 238,011,117.70
  5. Step 5: Solve for x
    x = 238,011,117.70/21,441.46
  6. Step 6: Final answer
    x = 11,100.51

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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.