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Finding the Fourth Proportional to 13,041.92, 17,997.88 and 7,737.72

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Solution

The fourth proportional to 13,041.92, 17,997.88 and 7,737.72 is: 10,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,041.92 : 17,997.88 = 7,737.72 : x
  2. Step 2: Convert to fraction form
    13,041.92/17,997.88 = 7,737.72/x
  3. Step 3: Cross multiply
    13,041.92x = 17,997.88 × 7,737.72
  4. Step 4: Simplify right side
    13,041.92x = 139,262,556.03
  5. Step 5: Solve for x
    x = 139,262,556.03/13,041.92
  6. Step 6: Final answer
    x = 10,678.07

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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.