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Finding the Fourth Proportional to 16,406.14, 22,642.14 and 9,693.94

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Solution

The fourth proportional to 16,406.14, 22,642.14 and 9,693.94 is: 13,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.14 : 22,642.14 = 9,693.94 : x
  2. Step 2: Convert to fraction form
    16,406.14/22,642.14 = 9,693.94/x
  3. Step 3: Cross multiply
    16,406.14x = 22,642.14 × 9,693.94
  4. Step 4: Simplify right side
    16,406.14x = 219,491,546.63
  5. Step 5: Solve for x
    x = 219,491,546.63/16,406.14
  6. Step 6: Final answer
    x = 13,378.62

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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.