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Finding the Fourth Proportional to 34,857.60, 52,286.40 and 9,895.20

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Solution

The fourth proportional to 34,857.60, 52,286.40 and 9,895.20 is: 14,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,857.60 : 52,286.40 = 9,895.20 : x
  2. Step 2: Convert to fraction form
    34,857.60/52,286.40 = 9,895.20/x
  3. Step 3: Cross multiply
    34,857.60x = 52,286.40 × 9,895.20
  4. Step 4: Simplify right side
    34,857.60x = 517,384,385.28
  5. Step 5: Solve for x
    x = 517,384,385.28/34,857.60
  6. Step 6: Final answer
    x = 14,842.80

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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.