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Finding the Fourth Proportional to 27,204.61, 40,802.20 and 7,214.23

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Solution

The fourth proportional to 27,204.61, 40,802.20 and 7,214.23 is: 10,820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,204.61 : 40,802.20 = 7,214.23 : x
  2. Step 2: Convert to fraction form
    27,204.61/40,802.20 = 7,214.23/x
  3. Step 3: Cross multiply
    27,204.61x = 40,802.20 × 7,214.23
  4. Step 4: Simplify right side
    27,204.61x = 294,356,455.31
  5. Step 5: Solve for x
    x = 294,356,455.31/27,204.61
  6. Step 6: Final answer
    x = 10,820.09

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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.