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Finding the Fourth Proportional to 23,185.74, 34,782.08 and 8,398.11

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Solution

The fourth proportional to 23,185.74, 34,782.08 and 8,398.11 is: 12,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,185.74 : 34,782.08 = 8,398.11 : x
  2. Step 2: Convert to fraction form
    23,185.74/34,782.08 = 8,398.11/x
  3. Step 3: Cross multiply
    23,185.74x = 34,782.08 × 8,398.11
  4. Step 4: Simplify right side
    23,185.74x = 292,103,754.86
  5. Step 5: Solve for x
    x = 292,103,754.86/23,185.74
  6. Step 6: Final answer
    x = 12,598.42

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1.5x scale

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.