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Finding the Fourth Proportional to 14,421.69, 21,619.65 and 7,761.75

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Solution

The fourth proportional to 14,421.69, 21,619.65 and 7,761.75 is: 11,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421.69 : 21,619.65 = 7,761.75 : x
  2. Step 2: Convert to fraction form
    14,421.69/21,619.65 = 7,761.75/x
  3. Step 3: Cross multiply
    14,421.69x = 21,619.65 × 7,761.75
  4. Step 4: Simplify right side
    14,421.69x = 167,806,318.39
  5. Step 5: Solve for x
    x = 167,806,318.39/14,421.69
  6. Step 6: Final answer
    x = 11,635.69

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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.