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Finding the Fourth Proportional to 14,296.81, 19,729.06 and 7,923.23

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Solution

The fourth proportional to 14,296.81, 19,729.06 and 7,923.23 is: 10,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.81 : 19,729.06 = 7,923.23 : x
  2. Step 2: Convert to fraction form
    14,296.81/19,729.06 = 7,923.23/x
  3. Step 3: Cross multiply
    14,296.81x = 19,729.06 × 7,923.23
  4. Step 4: Simplify right side
    14,296.81x = 156,317,909.58
  5. Step 5: Solve for x
    x = 156,317,909.58/14,296.81
  6. Step 6: Final answer
    x = 10,933.76

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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.