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Finding the Fourth Proportional to 14,562.30, 21,843.45 and 13,223.10

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Solution

The fourth proportional to 14,562.30, 21,843.45 and 13,223.10 is: 19,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.30 : 21,843.45 = 13,223.10 : x
  2. Step 2: Convert to fraction form
    14,562.30/21,843.45 = 13,223.10/x
  3. Step 3: Cross multiply
    14,562.30x = 21,843.45 × 13,223.10
  4. Step 4: Simplify right side
    14,562.30x = 288,838,123.70
  5. Step 5: Solve for x
    x = 288,838,123.70/14,562.30
  6. Step 6: Final answer
    x = 19,834.65

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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.