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Finding the Fourth Proportional to 23,244.30, 32,077.14 and 12,633.93

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Solution

The fourth proportional to 23,244.30, 32,077.14 and 12,633.93 is: 17,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,244.30 : 32,077.14 = 12,633.93 : x
  2. Step 2: Convert to fraction form
    23,244.30/32,077.14 = 12,633.93/x
  3. Step 3: Cross multiply
    23,244.30x = 32,077.14 × 12,633.93
  4. Step 4: Simplify right side
    23,244.30x = 405,260,341.36
  5. Step 5: Solve for x
    x = 405,260,341.36/23,244.30
  6. Step 6: Final answer
    x = 17,434.83

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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.