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Finding the Fourth Proportional to 18,894.62, 28,341.93 and 5,747

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Solution

The fourth proportional to 18,894.62, 28,341.93 and 5,747 is: 8,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,894.62 : 28,341.93 = 5,747 : x
  2. Step 2: Convert to fraction form
    18,894.62/28,341.93 = 5,747/x
  3. Step 3: Cross multiply
    18,894.62x = 28,341.93 × 5,747
  4. Step 4: Simplify right side
    18,894.62x = 162,881,042.98
  5. Step 5: Solve for x
    x = 162,881,042.98/18,894.62
  6. Step 6: Final answer
    x = 8,620.50

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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.