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Finding the Fourth Proportional to 23,853.48, 35,709.12 and 14,465.22

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Solution

The fourth proportional to 23,853.48, 35,709.12 and 14,465.22 is: 21,654.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.48 : 35,709.12 = 14,465.22 : x
  2. Step 2: Convert to fraction form
    23,853.48/35,709.12 = 14,465.22/x
  3. Step 3: Cross multiply
    23,853.48x = 35,709.12 × 14,465.22
  4. Step 4: Simplify right side
    23,853.48x = 516,540,276.81
  5. Step 5: Solve for x
    x = 516,540,276.81/23,853.48
  6. Step 6: Final answer
    x = 21,654.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.