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Finding the Fourth Proportional to 27,603, 38,101.74 and 16,424.76

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Solution

The fourth proportional to 27,603, 38,101.74 and 16,424.76 is: 22,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,603 : 38,101.74 = 16,424.76 : x
  2. Step 2: Convert to fraction form
    27,603/38,101.74 = 16,424.76/x
  3. Step 3: Cross multiply
    27,603x = 38,101.74 × 16,424.76
  4. Step 4: Simplify right side
    27,603x = 625,811,935.08
  5. Step 5: Solve for x
    x = 625,811,935.08/27,603
  6. Step 6: Final answer
    x = 22,671.88

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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.