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Finding the Fourth Proportional to 13,476.68, 18,589.40 and 9,641.24

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Solution

The fourth proportional to 13,476.68, 18,589.40 and 9,641.24 is: 13,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.68 : 18,589.40 = 9,641.24 : x
  2. Step 2: Convert to fraction form
    13,476.68/18,589.40 = 9,641.24/x
  3. Step 3: Cross multiply
    13,476.68x = 18,589.40 × 9,641.24
  4. Step 4: Simplify right side
    13,476.68x = 179,224,866.86
  5. Step 5: Solve for x
    x = 179,224,866.86/13,476.68
  6. Step 6: Final answer
    x = 13,298.89

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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.