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Finding the Fourth Proportional to 23,601.38, 32,569.90 and 12,991.01

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Solution

The fourth proportional to 23,601.38, 32,569.90 and 12,991.01 is: 17,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,601.38 : 32,569.90 = 12,991.01 : x
  2. Step 2: Convert to fraction form
    23,601.38/32,569.90 = 12,991.01/x
  3. Step 3: Cross multiply
    23,601.38x = 32,569.90 × 12,991.01
  4. Step 4: Simplify right side
    23,601.38x = 423,115,792.87
  5. Step 5: Solve for x
    x = 423,115,792.87/23,601.38
  6. Step 6: Final answer
    x = 17,927.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.