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Finding the Fourth Proportional to 13,412.72, 18,509.20 and 7,444.24

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Solution

The fourth proportional to 13,412.72, 18,509.20 and 7,444.24 is: 10,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.72 : 18,509.20 = 7,444.24 : x
  2. Step 2: Convert to fraction form
    13,412.72/18,509.20 = 7,444.24/x
  3. Step 3: Cross multiply
    13,412.72x = 18,509.20 × 7,444.24
  4. Step 4: Simplify right side
    13,412.72x = 137,786,834.46
  5. Step 5: Solve for x
    x = 137,786,834.46/13,412.72
  6. Step 6: Final answer
    x = 10,272.85

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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.