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Finding the Fourth Proportional to 18,569.84, 27,855 and 4,718.96

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Solution

The fourth proportional to 18,569.84, 27,855 and 4,718.96 is: 7,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,569.84 : 27,855 = 4,718.96 : x
  2. Step 2: Convert to fraction form
    18,569.84/27,855 = 4,718.96/x
  3. Step 3: Cross multiply
    18,569.84x = 27,855 × 4,718.96
  4. Step 4: Simplify right side
    18,569.84x = 131,446,630.80
  5. Step 5: Solve for x
    x = 131,446,630.80/18,569.84
  6. Step 6: Final answer
    x = 7,078.50

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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.