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Finding the Fourth Proportional to 14,716.40, 22,020.60 and 10,828.40

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Solution

The fourth proportional to 14,716.40, 22,020.60 and 10,828.40 is: 16,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.40 : 22,020.60 = 10,828.40 : x
  2. Step 2: Convert to fraction form
    14,716.40/22,020.60 = 10,828.40/x
  3. Step 3: Cross multiply
    14,716.40x = 22,020.60 × 10,828.40
  4. Step 4: Simplify right side
    14,716.40x = 238,447,865.04
  5. Step 5: Solve for x
    x = 238,447,865.04/14,716.40
  6. Step 6: Final answer
    x = 16,202.87

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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.