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Finding the Fourth Proportional to 13,760.65, 18,983.17 and 9,285.84

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Solution

The fourth proportional to 13,760.65, 18,983.17 and 9,285.84 is: 12,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.65 : 18,983.17 = 9,285.84 : x
  2. Step 2: Convert to fraction form
    13,760.65/18,983.17 = 9,285.84/x
  3. Step 3: Cross multiply
    13,760.65x = 18,983.17 × 9,285.84
  4. Step 4: Simplify right side
    13,760.65x = 176,274,679.31
  5. Step 5: Solve for x
    x = 176,274,679.31/13,760.65
  6. Step 6: Final answer
    x = 12,810.05

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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.