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Finding the Fourth Proportional to 13,997.16, 19,315.92 and 7,709.40

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Solution

The fourth proportional to 13,997.16, 19,315.92 and 7,709.40 is: 10,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.16 : 19,315.92 = 7,709.40 : x
  2. Step 2: Convert to fraction form
    13,997.16/19,315.92 = 7,709.40/x
  3. Step 3: Cross multiply
    13,997.16x = 19,315.92 × 7,709.40
  4. Step 4: Simplify right side
    13,997.16x = 148,914,153.65
  5. Step 5: Solve for x
    x = 148,914,153.65/13,997.16
  6. Step 6: Final answer
    x = 10,638.88

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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.