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Finding the Fourth Proportional to 15,407.80, 23,093.70 and 8,840.20

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Solution

The fourth proportional to 15,407.80, 23,093.70 and 8,840.20 is: 13,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407.80 : 23,093.70 = 8,840.20 : x
  2. Step 2: Convert to fraction form
    15,407.80/23,093.70 = 8,840.20/x
  3. Step 3: Cross multiply
    15,407.80x = 23,093.70 × 8,840.20
  4. Step 4: Simplify right side
    15,407.80x = 204,152,926.74
  5. Step 5: Solve for x
    x = 204,152,926.74/15,407.80
  6. Step 6: Final answer
    x = 13,249.97

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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.