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Finding the Fourth Proportional to 16,419.65, 22,659.24 and 9,346.52

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Solution

The fourth proportional to 16,419.65, 22,659.24 and 9,346.52 is: 12,898.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.65 : 22,659.24 = 9,346.52 : x
  2. Step 2: Convert to fraction form
    16,419.65/22,659.24 = 9,346.52/x
  3. Step 3: Cross multiply
    16,419.65x = 22,659.24 × 9,346.52
  4. Step 4: Simplify right side
    16,419.65x = 211,785,131.54
  5. Step 5: Solve for x
    x = 211,785,131.54/16,419.65
  6. Step 6: Final answer
    x = 12,898.28

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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.