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Finding the Fourth Proportional to 13,996.81, 19,315.65 and 7,709.17

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Solution

The fourth proportional to 13,996.81, 19,315.65 and 7,709.17 is: 10,638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,996.81 : 19,315.65 = 7,709.17 : x
  2. Step 2: Convert to fraction form
    13,996.81/19,315.65 = 7,709.17/x
  3. Step 3: Cross multiply
    13,996.81x = 19,315.65 × 7,709.17
  4. Step 4: Simplify right side
    13,996.81x = 148,907,629.51
  5. Step 5: Solve for x
    x = 148,907,629.51/13,996.81
  6. Step 6: Final answer
    x = 10,638.68

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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.