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Finding the Fourth Proportional to 16,719.83, 23,073.03 and 9,166.17

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Solution

The fourth proportional to 16,719.83, 23,073.03 and 9,166.17 is: 12,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,719.83 : 23,073.03 = 9,166.17 : x
  2. Step 2: Convert to fraction form
    16,719.83/23,073.03 = 9,166.17/x
  3. Step 3: Cross multiply
    16,719.83x = 23,073.03 × 9,166.17
  4. Step 4: Simplify right side
    16,719.83x = 211,491,315.40
  5. Step 5: Solve for x
    x = 211,491,315.40/16,719.83
  6. Step 6: Final answer
    x = 12,649.13

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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.