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Finding the Fourth Proportional to 16,196.01, 22,342.85 and 9,477.47

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Solution

The fourth proportional to 16,196.01, 22,342.85 and 9,477.47 is: 13,074.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.01 : 22,342.85 = 9,477.47 : x
  2. Step 2: Convert to fraction form
    16,196.01/22,342.85 = 9,477.47/x
  3. Step 3: Cross multiply
    16,196.01x = 22,342.85 × 9,477.47
  4. Step 4: Simplify right side
    16,196.01x = 211,753,795.06
  5. Step 5: Solve for x
    x = 211,753,795.06/16,196.01
  6. Step 6: Final answer
    x = 13,074.44

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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.