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Finding the Fourth Proportional to 16,242.05, 22,415.97 and 9,869.68

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Solution

The fourth proportional to 16,242.05, 22,415.97 and 9,869.68 is: 13,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.05 : 22,415.97 = 9,869.68 : x
  2. Step 2: Convert to fraction form
    16,242.05/22,415.97 = 9,869.68/x
  3. Step 3: Cross multiply
    16,242.05x = 22,415.97 × 9,869.68
  4. Step 4: Simplify right side
    16,242.05x = 221,238,515.82
  5. Step 5: Solve for x
    x = 221,238,515.82/16,242.05
  6. Step 6: Final answer
    x = 13,621.34

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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.