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Finding the Fourth Proportional to 16,431.71, 22,675.71 and 9,358.14

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Solution

The fourth proportional to 16,431.71, 22,675.71 and 9,358.14 is: 12,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.71 : 22,675.71 = 9,358.14 : x
  2. Step 2: Convert to fraction form
    16,431.71/22,675.71 = 9,358.14/x
  3. Step 3: Cross multiply
    16,431.71x = 22,675.71 × 9,358.14
  4. Step 4: Simplify right side
    16,431.71x = 212,202,588.91
  5. Step 5: Solve for x
    x = 212,202,588.91/16,431.71
  6. Step 6: Final answer
    x = 12,914.22

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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.