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Finding the Fourth Proportional to 15,956.89, 23,948.06 and 7,192.49

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Solution

The fourth proportional to 15,956.89, 23,948.06 and 7,192.49 is: 10,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,956.89 : 23,948.06 = 7,192.49 : x
  2. Step 2: Convert to fraction form
    15,956.89/23,948.06 = 7,192.49/x
  3. Step 3: Cross multiply
    15,956.89x = 23,948.06 × 7,192.49
  4. Step 4: Simplify right side
    15,956.89x = 172,246,026.37
  5. Step 5: Solve for x
    x = 172,246,026.37/15,956.89
  6. Step 6: Final answer
    x = 10,794.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.