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Finding the Fourth Proportional to 18,776.32, 25,911.84 and 11,320

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Solution

The fourth proportional to 18,776.32, 25,911.84 and 11,320 is: 15,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,776.32 : 25,911.84 = 11,320 : x
  2. Step 2: Convert to fraction form
    18,776.32/25,911.84 = 11,320/x
  3. Step 3: Cross multiply
    18,776.32x = 25,911.84 × 11,320
  4. Step 4: Simplify right side
    18,776.32x = 293,322,028.80
  5. Step 5: Solve for x
    x = 293,322,028.80/18,776.32
  6. Step 6: Final answer
    x = 15,621.91

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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.