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Finding the Fourth Proportional to 16,592.90, 22,896.68 and 9,880.16

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Solution

The fourth proportional to 16,592.90, 22,896.68 and 9,880.16 is: 13,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,592.90 : 22,896.68 = 9,880.16 : x
  2. Step 2: Convert to fraction form
    16,592.90/22,896.68 = 9,880.16/x
  3. Step 3: Cross multiply
    16,592.90x = 22,896.68 × 9,880.16
  4. Step 4: Simplify right side
    16,592.90x = 226,222,697.98
  5. Step 5: Solve for x
    x = 226,222,697.98/16,592.90
  6. Step 6: Final answer
    x = 13,633.71

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1.5x scale

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.