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Finding the Fourth Proportional to 14,787.71, 22,214.36 and 14,321.15

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Solution

The fourth proportional to 14,787.71, 22,214.36 and 14,321.15 is: 21,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787.71 : 22,214.36 = 14,321.15 : x
  2. Step 2: Convert to fraction form
    14,787.71/22,214.36 = 14,321.15/x
  3. Step 3: Cross multiply
    14,787.71x = 22,214.36 × 14,321.15
  4. Step 4: Simplify right side
    14,787.71x = 318,135,106.45
  5. Step 5: Solve for x
    x = 318,135,106.45/14,787.71
  6. Step 6: Final answer
    x = 21,513.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.