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Finding the Fourth Proportional to 12,114.39, 18,166.82 and 5,097.76

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Solution

The fourth proportional to 12,114.39, 18,166.82 and 5,097.76 is: 7,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.39 : 18,166.82 = 5,097.76 : x
  2. Step 2: Convert to fraction form
    12,114.39/18,166.82 = 5,097.76/x
  3. Step 3: Cross multiply
    12,114.39x = 18,166.82 × 5,097.76
  4. Step 4: Simplify right side
    12,114.39x = 92,610,088.32
  5. Step 5: Solve for x
    x = 92,610,088.32/12,114.39
  6. Step 6: Final answer
    x = 7,644.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.