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Finding the Fourth Proportional to 27,409.78, 37,825.20 and 16,077.10

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Solution

The fourth proportional to 27,409.78, 37,825.20 and 16,077.10 is: 22,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.78 : 37,825.20 = 16,077.10 : x
  2. Step 2: Convert to fraction form
    27,409.78/37,825.20 = 16,077.10/x
  3. Step 3: Cross multiply
    27,409.78x = 37,825.20 × 16,077.10
  4. Step 4: Simplify right side
    27,409.78x = 608,119,522.92
  5. Step 5: Solve for x
    x = 608,119,522.92/27,409.78
  6. Step 6: Final answer
    x = 22,186.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.