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Finding the Fourth Proportional to 21,558.54, 32,344.56 and 13,710

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Solution

The fourth proportional to 21,558.54, 32,344.56 and 13,710 is: 20,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,558.54 : 32,344.56 = 13,710 : x
  2. Step 2: Convert to fraction form
    21,558.54/32,344.56 = 13,710/x
  3. Step 3: Cross multiply
    21,558.54x = 32,344.56 × 13,710
  4. Step 4: Simplify right side
    21,558.54x = 443,443,917.60
  5. Step 5: Solve for x
    x = 443,443,917.60/21,558.54
  6. Step 6: Final answer
    x = 20,569.29

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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.