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Finding the Fourth Proportional to 16,546.86, 22,834.26 and 9,472.68

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Solution

The fourth proportional to 16,546.86, 22,834.26 and 9,472.68 is: 13,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.86 : 22,834.26 = 9,472.68 : x
  2. Step 2: Convert to fraction form
    16,546.86/22,834.26 = 9,472.68/x
  3. Step 3: Cross multiply
    16,546.86x = 22,834.26 × 9,472.68
  4. Step 4: Simplify right side
    16,546.86x = 216,301,638.02
  5. Step 5: Solve for x
    x = 216,301,638.02/16,546.86
  6. Step 6: Final answer
    x = 13,072.07

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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.