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Finding the Fourth Proportional to 27,407.52, 37,824.08 and 15,466.50

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Solution

The fourth proportional to 27,407.52, 37,824.08 and 15,466.50 is: 21,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.52 : 37,824.08 = 15,466.50 : x
  2. Step 2: Convert to fraction form
    27,407.52/37,824.08 = 15,466.50/x
  3. Step 3: Cross multiply
    27,407.52x = 37,824.08 × 15,466.50
  4. Step 4: Simplify right side
    27,407.52x = 585,006,133.32
  5. Step 5: Solve for x
    x = 585,006,133.32/27,407.52
  6. Step 6: Final answer
    x = 21,344.73

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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.