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Finding the Fourth Proportional to 23,054.24, 34,560.88 and 8,452

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Solution

The fourth proportional to 23,054.24, 34,560.88 and 8,452 is: 12,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,054.24 : 34,560.88 = 8,452 : x
  2. Step 2: Convert to fraction form
    23,054.24/34,560.88 = 8,452/x
  3. Step 3: Cross multiply
    23,054.24x = 34,560.88 × 8,452
  4. Step 4: Simplify right side
    23,054.24x = 292,108,557.76
  5. Step 5: Solve for x
    x = 292,108,557.76/23,054.24
  6. Step 6: Final answer
    x = 12,670.49

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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.