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Finding the Fourth Proportional to 27,226.32, 40,830.84 and 8,754

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Solution

The fourth proportional to 27,226.32, 40,830.84 and 8,754 is: 13,128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,226.32 : 40,830.84 = 8,754 : x
  2. Step 2: Convert to fraction form
    27,226.32/40,830.84 = 8,754/x
  3. Step 3: Cross multiply
    27,226.32x = 40,830.84 × 8,754
  4. Step 4: Simplify right side
    27,226.32x = 357,433,173.36
  5. Step 5: Solve for x
    x = 357,433,173.36/27,226.32
  6. Step 6: Final answer
    x = 13,128.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.