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Finding the Fourth Proportional to 16,348.23, 22,561.30 and 9,634.14

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Solution

The fourth proportional to 16,348.23, 22,561.30 and 9,634.14 is: 13,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348.23 : 22,561.30 = 9,634.14 : x
  2. Step 2: Convert to fraction form
    16,348.23/22,561.30 = 9,634.14/x
  3. Step 3: Cross multiply
    16,348.23x = 22,561.30 × 9,634.14
  4. Step 4: Simplify right side
    16,348.23x = 217,358,746.94
  5. Step 5: Solve for x
    x = 217,358,746.94/16,348.23
  6. Step 6: Final answer
    x = 13,295.55

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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.