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Finding the Fourth Proportional to 14,865, 22,297.50 and 5,631

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Solution

The fourth proportional to 14,865, 22,297.50 and 5,631 is: 8,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865 : 22,297.50 = 5,631 : x
  2. Step 2: Convert to fraction form
    14,865/22,297.50 = 5,631/x
  3. Step 3: Cross multiply
    14,865x = 22,297.50 × 5,631
  4. Step 4: Simplify right side
    14,865x = 125,557,222.50
  5. Step 5: Solve for x
    x = 125,557,222.50/14,865
  6. Step 6: Final answer
    x = 8,446.50

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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.