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Finding the Fourth Proportional to 12,497.49, 18,753.79 and 5,477.91

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Solution

The fourth proportional to 12,497.49, 18,753.79 and 5,477.91 is: 8,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.49 : 18,753.79 = 5,477.91 : x
  2. Step 2: Convert to fraction form
    12,497.49/18,753.79 = 5,477.91/x
  3. Step 3: Cross multiply
    12,497.49x = 18,753.79 × 5,477.91
  4. Step 4: Simplify right side
    12,497.49x = 102,731,480.01
  5. Step 5: Solve for x
    x = 102,731,480.01/12,497.49
  6. Step 6: Final answer
    x = 8,220.17

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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.