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Finding the Fourth Proportional to 16,375.50, 22,598.19 and 9,302.38

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Solution

The fourth proportional to 16,375.50, 22,598.19 and 9,302.38 is: 12,837.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,375.50 : 22,598.19 = 9,302.38 : x
  2. Step 2: Convert to fraction form
    16,375.50/22,598.19 = 9,302.38/x
  3. Step 3: Cross multiply
    16,375.50x = 22,598.19 × 9,302.38
  4. Step 4: Simplify right side
    16,375.50x = 210,216,894.20
  5. Step 5: Solve for x
    x = 210,216,894.20/16,375.50
  6. Step 6: Final answer
    x = 12,837.28

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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.