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Finding the Fourth Proportional to 34,777.16, 52,175.46 and 11,420

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Solution

The fourth proportional to 34,777.16, 52,175.46 and 11,420 is: 17,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,777.16 : 52,175.46 = 11,420 : x
  2. Step 2: Convert to fraction form
    34,777.16/52,175.46 = 11,420/x
  3. Step 3: Cross multiply
    34,777.16x = 52,175.46 × 11,420
  4. Step 4: Simplify right side
    34,777.16x = 595,843,753.20
  5. Step 5: Solve for x
    x = 595,843,753.20/34,777.16
  6. Step 6: Final answer
    x = 17,133.19

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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.