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Finding the Fourth Proportional to 22,884.71, 34,384.58 and 14,568.44

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Solution

The fourth proportional to 22,884.71, 34,384.58 and 14,568.44 is: 21,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884.71 : 34,384.58 = 14,568.44 : x
  2. Step 2: Convert to fraction form
    22,884.71/34,384.58 = 14,568.44/x
  3. Step 3: Cross multiply
    22,884.71x = 34,384.58 × 14,568.44
  4. Step 4: Simplify right side
    22,884.71x = 500,929,617.81
  5. Step 5: Solve for x
    x = 500,929,617.81/22,884.71
  6. Step 6: Final answer
    x = 21,889.27

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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.