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Finding the Fourth Proportional to 13,453.20, 18,565.86 and 7,403.68

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Solution

The fourth proportional to 13,453.20, 18,565.86 and 7,403.68 is: 10,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.20 : 18,565.86 = 7,403.68 : x
  2. Step 2: Convert to fraction form
    13,453.20/18,565.86 = 7,403.68/x
  3. Step 3: Cross multiply
    13,453.20x = 18,565.86 × 7,403.68
  4. Step 4: Simplify right side
    13,453.20x = 137,455,686.36
  5. Step 5: Solve for x
    x = 137,455,686.36/13,453.20
  6. Step 6: Final answer
    x = 10,217.32

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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.