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Finding the Fourth Proportional to 23,117.99, 31,902.57 and 12,507.39

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Solution

The fourth proportional to 23,117.99, 31,902.57 and 12,507.39 is: 17,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.99 : 31,902.57 = 12,507.39 : x
  2. Step 2: Convert to fraction form
    23,117.99/31,902.57 = 12,507.39/x
  3. Step 3: Cross multiply
    23,117.99x = 31,902.57 × 12,507.39
  4. Step 4: Simplify right side
    23,117.99x = 399,017,884.99
  5. Step 5: Solve for x
    x = 399,017,884.99/23,117.99
  6. Step 6: Final answer
    x = 17,260.06

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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.