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Finding the Fourth Proportional to 23,120.99, 31,906.72 and 12,510.39

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Solution

The fourth proportional to 23,120.99, 31,906.72 and 12,510.39 is: 17,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,120.99 : 31,906.72 = 12,510.39 : x
  2. Step 2: Convert to fraction form
    23,120.99/31,906.72 = 12,510.39/x
  3. Step 3: Cross multiply
    23,120.99x = 31,906.72 × 12,510.39
  4. Step 4: Simplify right side
    23,120.99x = 399,165,510.82
  5. Step 5: Solve for x
    x = 399,165,510.82/23,120.99
  6. Step 6: Final answer
    x = 17,264.20

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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.