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Finding the Fourth Proportional to 13,494.30, 18,624.43 and 7,830.81

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Solution

The fourth proportional to 13,494.30, 18,624.43 and 7,830.81 is: 10,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.30 : 18,624.43 = 7,830.81 : x
  2. Step 2: Convert to fraction form
    13,494.30/18,624.43 = 7,830.81/x
  3. Step 3: Cross multiply
    13,494.30x = 18,624.43 × 7,830.81
  4. Step 4: Simplify right side
    13,494.30x = 145,844,382.48
  5. Step 5: Solve for x
    x = 145,844,382.48/13,494.30
  6. Step 6: Final answer
    x = 10,807.85

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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.