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Finding the Fourth Proportional to 14,452.18, 19,944.03 and 8,164.57

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Solution

The fourth proportional to 14,452.18, 19,944.03 and 8,164.57 is: 11,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.18 : 19,944.03 = 8,164.57 : x
  2. Step 2: Convert to fraction form
    14,452.18/19,944.03 = 8,164.57/x
  3. Step 3: Cross multiply
    14,452.18x = 19,944.03 × 8,164.57
  4. Step 4: Simplify right side
    14,452.18x = 162,834,429.02
  5. Step 5: Solve for x
    x = 162,834,429.02/14,452.18
  6. Step 6: Final answer
    x = 11,267.12

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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.