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Finding the Fourth Proportional to 13,665.72, 20,501.46 and 4,431

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Solution

The fourth proportional to 13,665.72, 20,501.46 and 4,431 is: 6,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.72 : 20,501.46 = 4,431 : x
  2. Step 2: Convert to fraction form
    13,665.72/20,501.46 = 4,431/x
  3. Step 3: Cross multiply
    13,665.72x = 20,501.46 × 4,431
  4. Step 4: Simplify right side
    13,665.72x = 90,841,969.26
  5. Step 5: Solve for x
    x = 90,841,969.26/13,665.72
  6. Step 6: Final answer
    x = 6,647.43

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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.