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Finding the Fourth Proportional to 27,060, 37,342.80 and 16,447.64

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Solution

The fourth proportional to 27,060, 37,342.80 and 16,447.64 is: 22,697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,060 : 37,342.80 = 16,447.64 : x
  2. Step 2: Convert to fraction form
    27,060/37,342.80 = 16,447.64/x
  3. Step 3: Cross multiply
    27,060x = 37,342.80 × 16,447.64
  4. Step 4: Simplify right side
    27,060x = 614,200,930.99
  5. Step 5: Solve for x
    x = 614,200,930.99/27,060
  6. Step 6: Final answer
    x = 22,697.74

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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.