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Finding the Fourth Proportional to 16,175.89, 22,320.93 and 9,102.16

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Solution

The fourth proportional to 16,175.89, 22,320.93 and 9,102.16 is: 12,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.89 : 22,320.93 = 9,102.16 : x
  2. Step 2: Convert to fraction form
    16,175.89/22,320.93 = 9,102.16/x
  3. Step 3: Cross multiply
    16,175.89x = 22,320.93 × 9,102.16
  4. Step 4: Simplify right side
    16,175.89x = 203,168,676.21
  5. Step 5: Solve for x
    x = 203,168,676.21/16,175.89
  6. Step 6: Final answer
    x = 12,559.97

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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.