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Finding the Fourth Proportional to 15,663.91, 23,496.94 and 6,304

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Solution

The fourth proportional to 15,663.91, 23,496.94 and 6,304 is: 9,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,663.91 : 23,496.94 = 6,304 : x
  2. Step 2: Convert to fraction form
    15,663.91/23,496.94 = 6,304/x
  3. Step 3: Cross multiply
    15,663.91x = 23,496.94 × 6,304
  4. Step 4: Simplify right side
    15,663.91x = 148,124,709.76
  5. Step 5: Solve for x
    x = 148,124,709.76/15,663.91
  6. Step 6: Final answer
    x = 9,456.43

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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.