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Finding the Fourth Proportional to 15,879.94, 21,909.28 and 9,164.68

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Solution

The fourth proportional to 15,879.94, 21,909.28 and 9,164.68 is: 12,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,879.94 : 21,909.28 = 9,164.68 : x
  2. Step 2: Convert to fraction form
    15,879.94/21,909.28 = 9,164.68/x
  3. Step 3: Cross multiply
    15,879.94x = 21,909.28 × 9,164.68
  4. Step 4: Simplify right side
    15,879.94x = 200,791,540.23
  5. Step 5: Solve for x
    x = 200,791,540.23/15,879.94
  6. Step 6: Final answer
    x = 12,644.35

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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.