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Finding the Fourth Proportional to 13,983.17, 19,296.86 and 7,609.81

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Solution

The fourth proportional to 13,983.17, 19,296.86 and 7,609.81 is: 10,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.17 : 19,296.86 = 7,609.81 : x
  2. Step 2: Convert to fraction form
    13,983.17/19,296.86 = 7,609.81/x
  3. Step 3: Cross multiply
    13,983.17x = 19,296.86 × 7,609.81
  4. Step 4: Simplify right side
    13,983.17x = 146,845,438.20
  5. Step 5: Solve for x
    x = 146,845,438.20/13,983.17
  6. Step 6: Final answer
    x = 10,501.58

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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.