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Finding the Fourth Proportional to 27,425.76, 37,848.24 and 16,821.24

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Solution

The fourth proportional to 27,425.76, 37,848.24 and 16,821.24 is: 23,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,425.76 : 37,848.24 = 16,821.24 : x
  2. Step 2: Convert to fraction form
    27,425.76/37,848.24 = 16,821.24/x
  3. Step 3: Cross multiply
    27,425.76x = 37,848.24 × 16,821.24
  4. Step 4: Simplify right side
    27,425.76x = 636,654,328.62
  5. Step 5: Solve for x
    x = 636,654,328.62/27,425.76
  6. Step 6: Final answer
    x = 23,213.74

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1.5x scale

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.