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Finding the Fourth Proportional to 34,709.20, 52,064.10 and 8,414.17

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Solution

The fourth proportional to 34,709.20, 52,064.10 and 8,414.17 is: 12,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,709.20 : 52,064.10 = 8,414.17 : x
  2. Step 2: Convert to fraction form
    34,709.20/52,064.10 = 8,414.17/x
  3. Step 3: Cross multiply
    34,709.20x = 52,064.10 × 8,414.17
  4. Step 4: Simplify right side
    34,709.20x = 438,076,058.14
  5. Step 5: Solve for x
    x = 438,076,058.14/34,709.20
  6. Step 6: Final answer
    x = 12,621.32

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