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Finding the Fourth Proportional to 27,758.40, 38,308.02 and 16,434.42

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Solution

The fourth proportional to 27,758.40, 38,308.02 and 16,434.42 is: 22,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.40 : 38,308.02 = 16,434.42 : x
  2. Step 2: Convert to fraction form
    27,758.40/38,308.02 = 16,434.42/x
  3. Step 3: Cross multiply
    27,758.40x = 38,308.02 × 16,434.42
  4. Step 4: Simplify right side
    27,758.40x = 629,570,090.05
  5. Step 5: Solve for x
    x = 629,570,090.05/27,758.40
  6. Step 6: Final answer
    x = 22,680.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.