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Finding the Fourth Proportional to 12,200.98, 16,838.67 and 7,165.93

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Solution

The fourth proportional to 12,200.98, 16,838.67 and 7,165.93 is: 9,889.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.98 : 16,838.67 = 7,165.93 : x
  2. Step 2: Convert to fraction form
    12,200.98/16,838.67 = 7,165.93/x
  3. Step 3: Cross multiply
    12,200.98x = 16,838.67 × 7,165.93
  4. Step 4: Simplify right side
    12,200.98x = 120,664,730.51
  5. Step 5: Solve for x
    x = 120,664,730.51/12,200.98
  6. Step 6: Final answer
    x = 9,889.76

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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.