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Finding the Fourth Proportional to 16,580.48, 22,834.68 and 13,760

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Solution

The fourth proportional to 16,580.48, 22,834.68 and 13,760 is: 18,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.48 : 22,834.68 = 13,760 : x
  2. Step 2: Convert to fraction form
    16,580.48/22,834.68 = 13,760/x
  3. Step 3: Cross multiply
    16,580.48x = 22,834.68 × 13,760
  4. Step 4: Simplify right side
    16,580.48x = 314,205,196.80
  5. Step 5: Solve for x
    x = 314,205,196.80/16,580.48
  6. Step 6: Final answer
    x = 18,950.31

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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.