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Finding the Fourth Proportional to 13,997.70, 19,316.10 and 7,708.86

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Solution

The fourth proportional to 13,997.70, 19,316.10 and 7,708.86 is: 10,637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.70 : 19,316.10 = 7,708.86 : x
  2. Step 2: Convert to fraction form
    13,997.70/19,316.10 = 7,708.86/x
  3. Step 3: Cross multiply
    13,997.70x = 19,316.10 × 7,708.86
  4. Step 4: Simplify right side
    13,997.70x = 148,905,110.65
  5. Step 5: Solve for x
    x = 148,905,110.65/13,997.70
  6. Step 6: Final answer
    x = 10,637.83

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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.