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Finding the Fourth Proportional to 27,346.42, 37,738.80 and 15,410.16

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Solution

The fourth proportional to 27,346.42, 37,738.80 and 15,410.16 is: 21,266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346.42 : 37,738.80 = 15,410.16 : x
  2. Step 2: Convert to fraction form
    27,346.42/37,738.80 = 15,410.16/x
  3. Step 3: Cross multiply
    27,346.42x = 37,738.80 × 15,410.16
  4. Step 4: Simplify right side
    27,346.42x = 581,560,946.21
  5. Step 5: Solve for x
    x = 581,560,946.21/27,346.42
  6. Step 6: Final answer
    x = 21,266.44

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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.