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Finding the Fourth Proportional to 27,096, 37,392.60 and 15,159.32

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Solution

The fourth proportional to 27,096, 37,392.60 and 15,159.32 is: 20,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,096 : 37,392.60 = 15,159.32 : x
  2. Step 2: Convert to fraction form
    27,096/37,392.60 = 15,159.32/x
  3. Step 3: Cross multiply
    27,096x = 37,392.60 × 15,159.32
  4. Step 4: Simplify right side
    27,096x = 566,846,389.03
  5. Step 5: Solve for x
    x = 566,846,389.03/27,096
  6. Step 6: Final answer
    x = 20,919.93

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Why These Related Problems?

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