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Finding the Fourth Proportional to 13,153.86, 18,154.67 and 7,849.04

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Solution

The fourth proportional to 13,153.86, 18,154.67 and 7,849.04 is: 10,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.86 : 18,154.67 = 7,849.04 : x
  2. Step 2: Convert to fraction form
    13,153.86/18,154.67 = 7,849.04/x
  3. Step 3: Cross multiply
    13,153.86x = 18,154.67 × 7,849.04
  4. Step 4: Simplify right side
    13,153.86x = 142,496,601.00
  5. Step 5: Solve for x
    x = 142,496,601.00/13,153.86
  6. Step 6: Final answer
    x = 10,833.06

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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.