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Finding the Fourth Proportional to 22,017.84, 30,380.76 and 12,457.68

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Solution

The fourth proportional to 22,017.84, 30,380.76 and 12,457.68 is: 17,189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,017.84 : 30,380.76 = 12,457.68 : x
  2. Step 2: Convert to fraction form
    22,017.84/30,380.76 = 12,457.68/x
  3. Step 3: Cross multiply
    22,017.84x = 30,380.76 × 12,457.68
  4. Step 4: Simplify right side
    22,017.84x = 378,473,786.24
  5. Step 5: Solve for x
    x = 378,473,786.24/22,017.84
  6. Step 6: Final answer
    x = 17,189.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.