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Finding the Fourth Proportional to 27,214.61, 40,815.71 and 7,494.89

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Solution

The fourth proportional to 27,214.61, 40,815.71 and 7,494.89 is: 11,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214.61 : 40,815.71 = 7,494.89 : x
  2. Step 2: Convert to fraction form
    27,214.61/40,815.71 = 7,494.89/x
  3. Step 3: Cross multiply
    27,214.61x = 40,815.71 × 7,494.89
  4. Step 4: Simplify right side
    27,214.61x = 305,909,219.25
  5. Step 5: Solve for x
    x = 305,909,219.25/27,214.61
  6. Step 6: Final answer
    x = 11,240.62

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Why These Related Problems?

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