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Finding the Fourth Proportional to 12,551.92, 18,827.31 and 5,530.06

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Solution

The fourth proportional to 12,551.92, 18,827.31 and 5,530.06 is: 8,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551.92 : 18,827.31 = 5,530.06 : x
  2. Step 2: Convert to fraction form
    12,551.92/18,827.31 = 5,530.06/x
  3. Step 3: Cross multiply
    12,551.92x = 18,827.31 × 5,530.06
  4. Step 4: Simplify right side
    12,551.92x = 104,116,153.94
  5. Step 5: Solve for x
    x = 104,116,153.94/12,551.92
  6. Step 6: Final answer
    x = 8,294.84

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Why These Related Problems?

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