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Finding the Fourth Proportional to 12,097.76, 18,146.63 and 3,777.44

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Solution

The fourth proportional to 12,097.76, 18,146.63 and 3,777.44 is: 5,666.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.76 : 18,146.63 = 3,777.44 : x
  2. Step 2: Convert to fraction form
    12,097.76/18,146.63 = 3,777.44/x
  3. Step 3: Cross multiply
    12,097.76x = 18,146.63 × 3,777.44
  4. Step 4: Simplify right side
    12,097.76x = 68,547,724.74
  5. Step 5: Solve for x
    x = 68,547,724.74/12,097.76
  6. Step 6: Final answer
    x = 5,666.15

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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.