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Finding the Fourth Proportional to 20,381.68, 30,581.54 and 12,984.24

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Solution

The fourth proportional to 20,381.68, 30,581.54 and 12,984.24 is: 19,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,381.68 : 30,581.54 = 12,984.24 : x
  2. Step 2: Convert to fraction form
    20,381.68/30,581.54 = 12,984.24/x
  3. Step 3: Cross multiply
    20,381.68x = 30,581.54 × 12,984.24
  4. Step 4: Simplify right side
    20,381.68x = 397,078,054.93
  5. Step 5: Solve for x
    x = 397,078,054.93/20,381.68
  6. Step 6: Final answer
    x = 19,482.11

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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.