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Finding the Fourth Proportional to 27,799, 38,362.64 and 15,223.80

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Solution

The fourth proportional to 27,799, 38,362.64 and 15,223.80 is: 21,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,799 : 38,362.64 = 15,223.80 : x
  2. Step 2: Convert to fraction form
    27,799/38,362.64 = 15,223.80/x
  3. Step 3: Cross multiply
    27,799x = 38,362.64 × 15,223.80
  4. Step 4: Simplify right side
    27,799x = 584,025,158.83
  5. Step 5: Solve for x
    x = 584,025,158.83/27,799
  6. Step 6: Final answer
    x = 21,008.85

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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.