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Finding the Fourth Proportional to 27,478.08, 37,905.84 and 17,389.62

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Solution

The fourth proportional to 27,478.08, 37,905.84 and 17,389.62 is: 23,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.08 : 37,905.84 = 17,389.62 : x
  2. Step 2: Convert to fraction form
    27,478.08/37,905.84 = 17,389.62/x
  3. Step 3: Cross multiply
    27,478.08x = 37,905.84 × 17,389.62
  4. Step 4: Simplify right side
    27,478.08x = 659,168,153.38
  5. Step 5: Solve for x
    x = 659,168,153.38/27,478.08
  6. Step 6: Final answer
    x = 23,988.87

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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.