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Finding the Fourth Proportional to 13,934.42, 20,903.22 and 5,053.94

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Solution

The fourth proportional to 13,934.42, 20,903.22 and 5,053.94 is: 7,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.42 : 20,903.22 = 5,053.94 : x
  2. Step 2: Convert to fraction form
    13,934.42/20,903.22 = 5,053.94/x
  3. Step 3: Cross multiply
    13,934.42x = 20,903.22 × 5,053.94
  4. Step 4: Simplify right side
    13,934.42x = 105,643,619.69
  5. Step 5: Solve for x
    x = 105,643,619.69/13,934.42
  6. Step 6: Final answer
    x = 7,581.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.