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Finding the Fourth Proportional to 22,884.74, 34,262.40 and 14,544.08

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Solution

The fourth proportional to 22,884.74, 34,262.40 and 14,544.08 is: 21,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884.74 : 34,262.40 = 14,544.08 : x
  2. Step 2: Convert to fraction form
    22,884.74/34,262.40 = 14,544.08/x
  3. Step 3: Cross multiply
    22,884.74x = 34,262.40 × 14,544.08
  4. Step 4: Simplify right side
    22,884.74x = 498,315,086.59
  5. Step 5: Solve for x
    x = 498,315,086.59/22,884.74
  6. Step 6: Final answer
    x = 21,774.99

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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.