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Finding the Fourth Proportional to 13,997.67, 19,316.78 and 7,710.04

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Solution

The fourth proportional to 13,997.67, 19,316.78 and 7,710.04 is: 10,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.67 : 19,316.78 = 7,710.04 : x
  2. Step 2: Convert to fraction form
    13,997.67/19,316.78 = 7,710.04/x
  3. Step 3: Cross multiply
    13,997.67x = 19,316.78 × 7,710.04
  4. Step 4: Simplify right side
    13,997.67x = 148,933,146.47
  5. Step 5: Solve for x
    x = 148,933,146.47/13,997.67
  6. Step 6: Final answer
    x = 10,639.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.