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Finding the Fourth Proportional to 13,412.83, 18,509.42 and 7,444.14

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Solution

The fourth proportional to 13,412.83, 18,509.42 and 7,444.14 is: 10,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.83 : 18,509.42 = 7,444.14 : x
  2. Step 2: Convert to fraction form
    13,412.83/18,509.42 = 7,444.14/x
  3. Step 3: Cross multiply
    13,412.83x = 18,509.42 × 7,444.14
  4. Step 4: Simplify right side
    13,412.83x = 137,786,732.41
  5. Step 5: Solve for x
    x = 137,786,732.41/13,412.83
  6. Step 6: Final answer
    x = 10,272.76

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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.