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Finding the Fourth Proportional to 23,195.72, 32,009.99 and 12,585.32

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Solution

The fourth proportional to 23,195.72, 32,009.99 and 12,585.32 is: 17,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,195.72 : 32,009.99 = 12,585.32 : x
  2. Step 2: Convert to fraction form
    23,195.72/32,009.99 = 12,585.32/x
  3. Step 3: Cross multiply
    23,195.72x = 32,009.99 × 12,585.32
  4. Step 4: Simplify right side
    23,195.72x = 402,856,044.46
  5. Step 5: Solve for x
    x = 402,856,044.46/23,195.72
  6. Step 6: Final answer
    x = 17,367.69

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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.