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Finding the Fourth Proportional to 17,248.32, 25,876.56 and 6,156

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Solution

The fourth proportional to 17,248.32, 25,876.56 and 6,156 is: 9,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,248.32 : 25,876.56 = 6,156 : x
  2. Step 2: Convert to fraction form
    17,248.32/25,876.56 = 6,156/x
  3. Step 3: Cross multiply
    17,248.32x = 25,876.56 × 6,156
  4. Step 4: Simplify right side
    17,248.32x = 159,296,103.36
  5. Step 5: Solve for x
    x = 159,296,103.36/17,248.32
  6. Step 6: Final answer
    x = 9,235.46

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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.