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Finding the Fourth Proportional to 22,709.72, 31,342.16 and 13,757

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Solution

The fourth proportional to 22,709.72, 31,342.16 and 13,757 is: 18,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.72 : 31,342.16 = 13,757 : x
  2. Step 2: Convert to fraction form
    22,709.72/31,342.16 = 13,757/x
  3. Step 3: Cross multiply
    22,709.72x = 31,342.16 × 13,757
  4. Step 4: Simplify right side
    22,709.72x = 431,174,095.12
  5. Step 5: Solve for x
    x = 431,174,095.12/22,709.72
  6. Step 6: Final answer
    x = 18,986.32

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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.