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Finding the Fourth Proportional to 23,410.17, 32,305.86 and 12,799.62

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Solution

The fourth proportional to 23,410.17, 32,305.86 and 12,799.62 is: 17,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,410.17 : 32,305.86 = 12,799.62 : x
  2. Step 2: Convert to fraction form
    23,410.17/32,305.86 = 12,799.62/x
  3. Step 3: Cross multiply
    23,410.17x = 32,305.86 × 12,799.62
  4. Step 4: Simplify right side
    23,410.17x = 413,502,731.77
  5. Step 5: Solve for x
    x = 413,502,731.77/23,410.17
  6. Step 6: Final answer
    x = 17,663.38

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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.