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Finding the Fourth Proportional to 16,064.88, 22,174.20 and 9,788.64

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Solution

The fourth proportional to 16,064.88, 22,174.20 and 9,788.64 is: 13,511.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.88 : 22,174.20 = 9,788.64 : x
  2. Step 2: Convert to fraction form
    16,064.88/22,174.20 = 9,788.64/x
  3. Step 3: Cross multiply
    16,064.88x = 22,174.20 × 9,788.64
  4. Step 4: Simplify right side
    16,064.88x = 217,055,261.09
  5. Step 5: Solve for x
    x = 217,055,261.09/16,064.88
  6. Step 6: Final answer
    x = 13,511.17

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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.