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Finding the Fourth Proportional to 13,234.66, 19,845.70 and 7,689.60

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Solution

The fourth proportional to 13,234.66, 19,845.70 and 7,689.60 is: 11,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.66 : 19,845.70 = 7,689.60 : x
  2. Step 2: Convert to fraction form
    13,234.66/19,845.70 = 7,689.60/x
  3. Step 3: Cross multiply
    13,234.66x = 19,845.70 × 7,689.60
  4. Step 4: Simplify right side
    13,234.66x = 152,605,475.50
  5. Step 5: Solve for x
    x = 152,605,475.50/13,234.66
  6. Step 6: Final answer
    x = 11,530.75

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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.