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Finding the Fourth Proportional to 13,229.34, 19,858.62 and 7,688.94

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Solution

The fourth proportional to 13,229.34, 19,858.62 and 7,688.94 is: 11,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.34 : 19,858.62 = 7,688.94 : x
  2. Step 2: Convert to fraction form
    13,229.34/19,858.62 = 7,688.94/x
  3. Step 3: Cross multiply
    13,229.34x = 19,858.62 × 7,688.94
  4. Step 4: Simplify right side
    13,229.34x = 152,691,737.66
  5. Step 5: Solve for x
    x = 152,691,737.66/13,229.34
  6. Step 6: Final answer
    x = 11,541.90

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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.