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Finding the Fourth Proportional to 21,270.32, 31,905.48 and 9,569.87

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Solution

The fourth proportional to 21,270.32, 31,905.48 and 9,569.87 is: 14,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,270.32 : 31,905.48 = 9,569.87 : x
  2. Step 2: Convert to fraction form
    21,270.32/31,905.48 = 9,569.87/x
  3. Step 3: Cross multiply
    21,270.32x = 31,905.48 × 9,569.87
  4. Step 4: Simplify right side
    21,270.32x = 305,331,136.36
  5. Step 5: Solve for x
    x = 305,331,136.36/21,270.32
  6. Step 6: Final answer
    x = 14,354.80

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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.