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Finding the Fourth Proportional to 13,494.53, 18,624.70 and 7,833.98

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Solution

The fourth proportional to 13,494.53, 18,624.70 and 7,833.98 is: 10,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.53 : 18,624.70 = 7,833.98 : x
  2. Step 2: Convert to fraction form
    13,494.53/18,624.70 = 7,833.98/x
  3. Step 3: Cross multiply
    13,494.53x = 18,624.70 × 7,833.98
  4. Step 4: Simplify right side
    13,494.53x = 145,905,395.01
  5. Step 5: Solve for x
    x = 145,905,395.01/13,494.53
  6. Step 6: Final answer
    x = 10,812.19

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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.