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Finding the Fourth Proportional to 16,115.13, 22,238.82 and 9,041.58

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Solution

The fourth proportional to 16,115.13, 22,238.82 and 9,041.58 is: 12,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,115.13 : 22,238.82 = 9,041.58 : x
  2. Step 2: Convert to fraction form
    16,115.13/22,238.82 = 9,041.58/x
  3. Step 3: Cross multiply
    16,115.13x = 22,238.82 × 9,041.58
  4. Step 4: Simplify right side
    16,115.13x = 201,074,070.14
  5. Step 5: Solve for x
    x = 201,074,070.14/16,115.13
  6. Step 6: Final answer
    x = 12,477.35

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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.