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Finding the Fourth Proportional to 19,679.52, 29,521.04 and 6,532

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Solution

The fourth proportional to 19,679.52, 29,521.04 and 6,532 is: 9,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,679.52 : 29,521.04 = 6,532 : x
  2. Step 2: Convert to fraction form
    19,679.52/29,521.04 = 6,532/x
  3. Step 3: Cross multiply
    19,679.52x = 29,521.04 × 6,532
  4. Step 4: Simplify right side
    19,679.52x = 192,831,433.28
  5. Step 5: Solve for x
    x = 192,831,433.28/19,679.52
  6. Step 6: Final answer
    x = 9,798.58

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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.