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Finding the Fourth Proportional to 12,658.50, 18,990.18 and 5,733

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Solution

The fourth proportional to 12,658.50, 18,990.18 and 5,733 is: 8,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.50 : 18,990.18 = 5,733 : x
  2. Step 2: Convert to fraction form
    12,658.50/18,990.18 = 5,733/x
  3. Step 3: Cross multiply
    12,658.50x = 18,990.18 × 5,733
  4. Step 4: Simplify right side
    12,658.50x = 108,870,701.94
  5. Step 5: Solve for x
    x = 108,870,701.94/12,658.50
  6. Step 6: Final answer
    x = 8,600.60

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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.