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Finding the Fourth Proportional to 12,202.10, 16,838.65 and 7,165.93

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Solution

The fourth proportional to 12,202.10, 16,838.65 and 7,165.93 is: 9,888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.10 : 16,838.65 = 7,165.93 : x
  2. Step 2: Convert to fraction form
    12,202.10/16,838.65 = 7,165.93/x
  3. Step 3: Cross multiply
    12,202.10x = 16,838.65 × 7,165.93
  4. Step 4: Simplify right side
    12,202.10x = 120,664,587.19
  5. Step 5: Solve for x
    x = 120,664,587.19/12,202.10
  6. Step 6: Final answer
    x = 9,888.84

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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.