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Finding the Fourth Proportional to 16,274.10, 22,458.14 and 9,200.52

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Solution

The fourth proportional to 16,274.10, 22,458.14 and 9,200.52 is: 12,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.10 : 22,458.14 = 9,200.52 : x
  2. Step 2: Convert to fraction form
    16,274.10/22,458.14 = 9,200.52/x
  3. Step 3: Cross multiply
    16,274.10x = 22,458.14 × 9,200.52
  4. Step 4: Simplify right side
    16,274.10x = 206,626,566.23
  5. Step 5: Solve for x
    x = 206,626,566.23/16,274.10
  6. Step 6: Final answer
    x = 12,696.65

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