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Finding the Fourth Proportional to 12,357.85, 18,533.98 and 5,687.94

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Solution

The fourth proportional to 12,357.85, 18,533.98 and 5,687.94 is: 8,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.85 : 18,533.98 = 5,687.94 : x
  2. Step 2: Convert to fraction form
    12,357.85/18,533.98 = 5,687.94/x
  3. Step 3: Cross multiply
    12,357.85x = 18,533.98 × 5,687.94
  4. Step 4: Simplify right side
    12,357.85x = 105,420,166.20
  5. Step 5: Solve for x
    x = 105,420,166.20/12,357.85
  6. Step 6: Final answer
    x = 8,530.62

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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.