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Finding the Fourth Proportional to 16,616.34, 22,917.59 and 10,648.57

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Solution

The fourth proportional to 16,616.34, 22,917.59 and 10,648.57 is: 14,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,616.34 : 22,917.59 = 10,648.57 : x
  2. Step 2: Convert to fraction form
    16,616.34/22,917.59 = 10,648.57/x
  3. Step 3: Cross multiply
    16,616.34x = 22,917.59 × 10,648.57
  4. Step 4: Simplify right side
    16,616.34x = 244,039,420.14
  5. Step 5: Solve for x
    x = 244,039,420.14/16,616.34
  6. Step 6: Final answer
    x = 14,686.71

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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.