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Finding the Fourth Proportional to 27,926.32, 41,878.40 and 12,333

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Solution

The fourth proportional to 27,926.32, 41,878.40 and 12,333 is: 18,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,926.32 : 41,878.40 = 12,333 : x
  2. Step 2: Convert to fraction form
    27,926.32/41,878.40 = 12,333/x
  3. Step 3: Cross multiply
    27,926.32x = 41,878.40 × 12,333
  4. Step 4: Simplify right side
    27,926.32x = 516,486,307.20
  5. Step 5: Solve for x
    x = 516,486,307.20/27,926.32
  6. Step 6: Final answer
    x = 18,494.61

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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.