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Finding the Fourth Proportional to 17,233.76, 25,848.96 and 7,873.28

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Solution

The fourth proportional to 17,233.76, 25,848.96 and 7,873.28 is: 11,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,233.76 : 25,848.96 = 7,873.28 : x
  2. Step 2: Convert to fraction form
    17,233.76/25,848.96 = 7,873.28/x
  3. Step 3: Cross multiply
    17,233.76x = 25,848.96 × 7,873.28
  4. Step 4: Simplify right side
    17,233.76x = 203,516,099.79
  5. Step 5: Solve for x
    x = 203,516,099.79/17,233.76
  6. Step 6: Final answer
    x = 11,809.15

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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.