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Finding the Fourth Proportional to 16,364.52, 22,582.26 and 9,290

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Solution

The fourth proportional to 16,364.52, 22,582.26 and 9,290 is: 12,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.52 : 22,582.26 = 9,290 : x
  2. Step 2: Convert to fraction form
    16,364.52/22,582.26 = 9,290/x
  3. Step 3: Cross multiply
    16,364.52x = 22,582.26 × 9,290
  4. Step 4: Simplify right side
    16,364.52x = 209,789,195.40
  5. Step 5: Solve for x
    x = 209,789,195.40/16,364.52
  6. Step 6: Final answer
    x = 12,819.76

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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.