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Finding the Fourth Proportional to 16,097.80, 21,801.15 and 16,097.80

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Solution

The fourth proportional to 16,097.80, 21,801.15 and 16,097.80 is: 21,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.80 : 21,801.15 = 16,097.80 : x
  2. Step 2: Convert to fraction form
    16,097.80/21,801.15 = 16,097.80/x
  3. Step 3: Cross multiply
    16,097.80x = 21,801.15 × 16,097.80
  4. Step 4: Simplify right side
    16,097.80x = 350,950,552.47
  5. Step 5: Solve for x
    x = 350,950,552.47/16,097.80
  6. Step 6: Final answer
    x = 21,801.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.