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Finding the Fourth Proportional to 22,209.85, 30,646.63 and 14,262.84

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Solution

The fourth proportional to 22,209.85, 30,646.63 and 14,262.84 is: 19,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,209.85 : 30,646.63 = 14,262.84 : x
  2. Step 2: Convert to fraction form
    22,209.85/30,646.63 = 14,262.84/x
  3. Step 3: Cross multiply
    22,209.85x = 30,646.63 × 14,262.84
  4. Step 4: Simplify right side
    22,209.85x = 437,107,998.06
  5. Step 5: Solve for x
    x = 437,107,998.06/22,209.85
  6. Step 6: Final answer
    x = 19,680.82

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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.