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Finding the Fourth Proportional to 13,786.59, 19,025.96 and 7,499.19

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Solution

The fourth proportional to 13,786.59, 19,025.96 and 7,499.19 is: 10,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786.59 : 19,025.96 = 7,499.19 : x
  2. Step 2: Convert to fraction form
    13,786.59/19,025.96 = 7,499.19/x
  3. Step 3: Cross multiply
    13,786.59x = 19,025.96 × 7,499.19
  4. Step 4: Simplify right side
    13,786.59x = 142,679,251.48
  5. Step 5: Solve for x
    x = 142,679,251.48/13,786.59
  6. Step 6: Final answer
    x = 10,349.13

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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.