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Finding the Fourth Proportional to 21,490.18, 32,223.79 and 7,446.60

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Solution

The fourth proportional to 21,490.18, 32,223.79 and 7,446.60 is: 11,165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,490.18 : 32,223.79 = 7,446.60 : x
  2. Step 2: Convert to fraction form
    21,490.18/32,223.79 = 7,446.60/x
  3. Step 3: Cross multiply
    21,490.18x = 32,223.79 × 7,446.60
  4. Step 4: Simplify right side
    21,490.18x = 239,957,637.38
  5. Step 5: Solve for x
    x = 239,957,637.38/21,490.18
  6. Step 6: Final answer
    x = 11,165.92

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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.