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Finding the Fourth Proportional to 23,309.10, 32,166.18 and 12,698.91

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Solution

The fourth proportional to 23,309.10, 32,166.18 and 12,698.91 is: 17,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309.10 : 32,166.18 = 12,698.91 : x
  2. Step 2: Convert to fraction form
    23,309.10/32,166.18 = 12,698.91/x
  3. Step 3: Cross multiply
    23,309.10x = 32,166.18 × 12,698.91
  4. Step 4: Simplify right side
    23,309.10x = 408,475,424.86
  5. Step 5: Solve for x
    x = 408,475,424.86/23,309.10
  6. Step 6: Final answer
    x = 17,524.29

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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.