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Finding the Fourth Proportional to 16,320, 22,521.60 and 9,696

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Solution

The fourth proportional to 16,320, 22,521.60 and 9,696 is: 13,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,320 : 22,521.60 = 9,696 : x
  2. Step 2: Convert to fraction form
    16,320/22,521.60 = 9,696/x
  3. Step 3: Cross multiply
    16,320x = 22,521.60 × 9,696
  4. Step 4: Simplify right side
    16,320x = 218,369,433.60
  5. Step 5: Solve for x
    x = 218,369,433.60/16,320
  6. Step 6: Final answer
    x = 13,380.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.