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Finding the Fourth Proportional to 13,995.79, 19,314.13 and 7,708.16

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Solution

The fourth proportional to 13,995.79, 19,314.13 and 7,708.16 is: 10,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,995.79 : 19,314.13 = 7,708.16 : x
  2. Step 2: Convert to fraction form
    13,995.79/19,314.13 = 7,708.16/x
  3. Step 3: Cross multiply
    13,995.79x = 19,314.13 × 7,708.16
  4. Step 4: Simplify right side
    13,995.79x = 148,876,404.30
  5. Step 5: Solve for x
    x = 148,876,404.30/13,995.79
  6. Step 6: Final answer
    x = 10,637.23

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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.