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Finding the Fourth Proportional to 23,717.67, 32,731.04 and 13,107.99

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Solution

The fourth proportional to 23,717.67, 32,731.04 and 13,107.99 is: 18,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,717.67 : 32,731.04 = 13,107.99 : x
  2. Step 2: Convert to fraction form
    23,717.67/32,731.04 = 13,107.99/x
  3. Step 3: Cross multiply
    23,717.67x = 32,731.04 × 13,107.99
  4. Step 4: Simplify right side
    23,717.67x = 429,038,145.01
  5. Step 5: Solve for x
    x = 429,038,145.01/23,717.67
  6. Step 6: Final answer
    x = 18,089.39

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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.