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Finding the Fourth Proportional to 16,097.33, 22,207.77 and 10,044

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Solution

The fourth proportional to 16,097.33, 22,207.77 and 10,044 is: 13,856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.33 : 22,207.77 = 10,044 : x
  2. Step 2: Convert to fraction form
    16,097.33/22,207.77 = 10,044/x
  3. Step 3: Cross multiply
    16,097.33x = 22,207.77 × 10,044
  4. Step 4: Simplify right side
    16,097.33x = 223,054,841.88
  5. Step 5: Solve for x
    x = 223,054,841.88/16,097.33
  6. Step 6: Final answer
    x = 13,856.63

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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.