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Finding the Fourth Proportional to 13,983.84, 19,293.84 and 9,730.13

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Solution

The fourth proportional to 13,983.84, 19,293.84 and 9,730.13 is: 13,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.84 : 19,293.84 = 9,730.13 : x
  2. Step 2: Convert to fraction form
    13,983.84/19,293.84 = 9,730.13/x
  3. Step 3: Cross multiply
    13,983.84x = 19,293.84 × 9,730.13
  4. Step 4: Simplify right side
    13,983.84x = 187,731,474.93
  5. Step 5: Solve for x
    x = 187,731,474.93/13,983.84
  6. Step 6: Final answer
    x = 13,424.89

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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.