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Finding the Fourth Proportional to 23,640.76, 32,623.86 and 13,031.38

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Solution

The fourth proportional to 23,640.76, 32,623.86 and 13,031.38 is: 17,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,640.76 : 32,623.86 = 13,031.38 : x
  2. Step 2: Convert to fraction form
    23,640.76/32,623.86 = 13,031.38/x
  3. Step 3: Cross multiply
    23,640.76x = 32,623.86 × 13,031.38
  4. Step 4: Simplify right side
    23,640.76x = 425,133,916.73
  5. Step 5: Solve for x
    x = 425,133,916.73/23,640.76
  6. Step 6: Final answer
    x = 17,983.09

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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.