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Finding the Fourth Proportional to 27,926.40, 41,894.78 and 9,207.74

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Solution

The fourth proportional to 27,926.40, 41,894.78 and 9,207.74 is: 13,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,926.40 : 41,894.78 = 9,207.74 : x
  2. Step 2: Convert to fraction form
    27,926.40/41,894.78 = 9,207.74/x
  3. Step 3: Cross multiply
    27,926.40x = 41,894.78 × 9,207.74
  4. Step 4: Simplify right side
    27,926.40x = 385,756,241.60
  5. Step 5: Solve for x
    x = 385,756,241.60/27,926.40
  6. Step 6: Final answer
    x = 13,813.32

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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.