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Finding the Fourth Proportional to 21,003.72, 31,511.42 and 9,158.53

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Solution

The fourth proportional to 21,003.72, 31,511.42 and 9,158.53 is: 13,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,003.72 : 31,511.42 = 9,158.53 : x
  2. Step 2: Convert to fraction form
    21,003.72/31,511.42 = 9,158.53/x
  3. Step 3: Cross multiply
    21,003.72x = 31,511.42 × 9,158.53
  4. Step 4: Simplify right side
    21,003.72x = 288,598,285.41
  5. Step 5: Solve for x
    x = 288,598,285.41/21,003.72
  6. Step 6: Final answer
    x = 13,740.34

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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.