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Finding the Fourth Proportional to 19,822.32, 29,725.92 and 6,492.02

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Solution

The fourth proportional to 19,822.32, 29,725.92 and 6,492.02 is: 9,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.32 : 29,725.92 = 6,492.02 : x
  2. Step 2: Convert to fraction form
    19,822.32/29,725.92 = 6,492.02/x
  3. Step 3: Cross multiply
    19,822.32x = 29,725.92 × 6,492.02
  4. Step 4: Simplify right side
    19,822.32x = 192,981,118.53
  5. Step 5: Solve for x
    x = 192,981,118.53/19,822.32
  6. Step 6: Final answer
    x = 9,735.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.