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Finding the Fourth Proportional to 16,371.71, 22,595.92 and 9,656.94

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Solution

The fourth proportional to 16,371.71, 22,595.92 and 9,656.94 is: 13,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,371.71 : 22,595.92 = 9,656.94 : x
  2. Step 2: Convert to fraction form
    16,371.71/22,595.92 = 9,656.94/x
  3. Step 3: Cross multiply
    16,371.71x = 22,595.92 × 9,656.94
  4. Step 4: Simplify right side
    16,371.71x = 218,207,419.54
  5. Step 5: Solve for x
    x = 218,207,419.54/16,371.71
  6. Step 6: Final answer
    x = 13,328.32

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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.