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Finding the Fourth Proportional to 14,221.69, 21,344.16 and 10,065.75

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Solution

The fourth proportional to 14,221.69, 21,344.16 and 10,065.75 is: 15,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.69 : 21,344.16 = 10,065.75 : x
  2. Step 2: Convert to fraction form
    14,221.69/21,344.16 = 10,065.75/x
  3. Step 3: Cross multiply
    14,221.69x = 21,344.16 × 10,065.75
  4. Step 4: Simplify right side
    14,221.69x = 214,844,978.52
  5. Step 5: Solve for x
    x = 214,844,978.52/14,221.69
  6. Step 6: Final answer
    x = 15,106.85

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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.