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Finding the Fourth Proportional to 14,822.65, 22,043.21 and 14,355.42

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Solution

The fourth proportional to 14,822.65, 22,043.21 and 14,355.42 is: 21,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.65 : 22,043.21 = 14,355.42 : x
  2. Step 2: Convert to fraction form
    14,822.65/22,043.21 = 14,355.42/x
  3. Step 3: Cross multiply
    14,822.65x = 22,043.21 × 14,355.42
  4. Step 4: Simplify right side
    14,822.65x = 316,439,537.70
  5. Step 5: Solve for x
    x = 316,439,537.70/14,822.65
  6. Step 6: Final answer
    x = 21,348.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.