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Finding the Fourth Proportional to 10,019.59, 13,824.28 and 6,243.37

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Solution

The fourth proportional to 10,019.59, 13,824.28 and 6,243.37 is: 8,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.59 : 13,824.28 = 6,243.37 : x
  2. Step 2: Convert to fraction form
    10,019.59/13,824.28 = 6,243.37/x
  3. Step 3: Cross multiply
    10,019.59x = 13,824.28 × 6,243.37
  4. Step 4: Simplify right side
    10,019.59x = 86,310,068.27
  5. Step 5: Solve for x
    x = 86,310,068.27/10,019.59
  6. Step 6: Final answer
    x = 8,614.13

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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.