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Finding the Fourth Proportional to 13,253.67, 19,857.13 and 6,999.87

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Solution

The fourth proportional to 13,253.67, 19,857.13 and 6,999.87 is: 10,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.67 : 19,857.13 = 6,999.87 : x
  2. Step 2: Convert to fraction form
    13,253.67/19,857.13 = 6,999.87/x
  3. Step 3: Cross multiply
    13,253.67x = 19,857.13 × 6,999.87
  4. Step 4: Simplify right side
    13,253.67x = 138,997,424.91
  5. Step 5: Solve for x
    x = 138,997,424.91/13,253.67
  6. Step 6: Final answer
    x = 10,487.47

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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.