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Finding the Fourth Proportional to 21,992.32, 32,992.32 and 9,680

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Solution

The fourth proportional to 21,992.32, 32,992.32 and 9,680 is: 14,521.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,992.32 : 32,992.32 = 9,680 : x
  2. Step 2: Convert to fraction form
    21,992.32/32,992.32 = 9,680/x
  3. Step 3: Cross multiply
    21,992.32x = 32,992.32 × 9,680
  4. Step 4: Simplify right side
    21,992.32x = 319,365,657.60
  5. Step 5: Solve for x
    x = 319,365,657.60/21,992.32
  6. Step 6: Final answer
    x = 14,521.69

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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.