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Finding the Fourth Proportional to 13,253.98, 18,285.24 and 8,541

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Solution

The fourth proportional to 13,253.98, 18,285.24 and 8,541 is: 11,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.98 : 18,285.24 = 8,541 : x
  2. Step 2: Convert to fraction form
    13,253.98/18,285.24 = 8,541/x
  3. Step 3: Cross multiply
    13,253.98x = 18,285.24 × 8,541
  4. Step 4: Simplify right side
    13,253.98x = 156,174,234.84
  5. Step 5: Solve for x
    x = 156,174,234.84/13,253.98
  6. Step 6: Final answer
    x = 11,783.20

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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.