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Finding the Fourth Proportional to 16,854.64, 23,260.44 and 9,402.64

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Solution

The fourth proportional to 16,854.64, 23,260.44 and 9,402.64 is: 12,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.64 : 23,260.44 = 9,402.64 : x
  2. Step 2: Convert to fraction form
    16,854.64/23,260.44 = 9,402.64/x
  3. Step 3: Cross multiply
    16,854.64x = 23,260.44 × 9,402.64
  4. Step 4: Simplify right side
    16,854.64x = 218,709,543.56
  5. Step 5: Solve for x
    x = 218,709,543.56/16,854.64
  6. Step 6: Final answer
    x = 12,976.22

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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.