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Finding the Fourth Proportional to 19,534.91, 29,304.18 and 6,388.61

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Solution

The fourth proportional to 19,534.91, 29,304.18 and 6,388.61 is: 9,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.91 : 29,304.18 = 6,388.61 : x
  2. Step 2: Convert to fraction form
    19,534.91/29,304.18 = 6,388.61/x
  3. Step 3: Cross multiply
    19,534.91x = 29,304.18 × 6,388.61
  4. Step 4: Simplify right side
    19,534.91x = 187,212,830.87
  5. Step 5: Solve for x
    x = 187,212,830.87/19,534.91
  6. Step 6: Final answer
    x = 9,583.50

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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.