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Finding the Fourth Proportional to 13,996.79, 19,315.51 and 7,709.16

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Solution

The fourth proportional to 13,996.79, 19,315.51 and 7,709.16 is: 10,638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,996.79 : 19,315.51 = 7,709.16 : x
  2. Step 2: Convert to fraction form
    13,996.79/19,315.51 = 7,709.16/x
  3. Step 3: Cross multiply
    13,996.79x = 19,315.51 × 7,709.16
  4. Step 4: Simplify right side
    13,996.79x = 148,906,357.07
  5. Step 5: Solve for x
    x = 148,906,357.07/13,996.79
  6. Step 6: Final answer
    x = 10,638.61

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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.