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Finding the Fourth Proportional to 27,182.39, 40,771.75 and 7,459.29

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Solution

The fourth proportional to 27,182.39, 40,771.75 and 7,459.29 is: 11,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.39 : 40,771.75 = 7,459.29 : x
  2. Step 2: Convert to fraction form
    27,182.39/40,771.75 = 7,459.29/x
  3. Step 3: Cross multiply
    27,182.39x = 40,771.75 × 7,459.29
  4. Step 4: Simplify right side
    27,182.39x = 304,128,307.06
  5. Step 5: Solve for x
    x = 304,128,307.06/27,182.39
  6. Step 6: Final answer
    x = 11,188.43

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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.