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Finding the Fourth Proportional to 18,950.50, 26,152.50 and 10,567

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Solution

The fourth proportional to 18,950.50, 26,152.50 and 10,567 is: 14,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,950.50 : 26,152.50 = 10,567 : x
  2. Step 2: Convert to fraction form
    18,950.50/26,152.50 = 10,567/x
  3. Step 3: Cross multiply
    18,950.50x = 26,152.50 × 10,567
  4. Step 4: Simplify right side
    18,950.50x = 276,353,467.50
  5. Step 5: Solve for x
    x = 276,353,467.50/18,950.50
  6. Step 6: Final answer
    x = 14,582.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.