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Finding the Fourth Proportional to 12,097.36, 18,143.54 and 3,776

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Solution

The fourth proportional to 12,097.36, 18,143.54 and 3,776 is: 5,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.36 : 18,143.54 = 3,776 : x
  2. Step 2: Convert to fraction form
    12,097.36/18,143.54 = 3,776/x
  3. Step 3: Cross multiply
    12,097.36x = 18,143.54 × 3,776
  4. Step 4: Simplify right side
    12,097.36x = 68,510,007.04
  5. Step 5: Solve for x
    x = 68,510,007.04/12,097.36
  6. Step 6: Final answer
    x = 5,663.22

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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.