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Finding the Fourth Proportional to 16,222.71, 22,387.68 and 9,513.48

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Solution

The fourth proportional to 16,222.71, 22,387.68 and 9,513.48 is: 13,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.71 : 22,387.68 = 9,513.48 : x
  2. Step 2: Convert to fraction form
    16,222.71/22,387.68 = 9,513.48/x
  3. Step 3: Cross multiply
    16,222.71x = 22,387.68 × 9,513.48
  4. Step 4: Simplify right side
    16,222.71x = 212,984,745.93
  5. Step 5: Solve for x
    x = 212,984,745.93/16,222.71
  6. Step 6: Final answer
    x = 13,128.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.