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Finding the Fourth Proportional to 26,683.67, 36,823.51 and 14,747

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Solution

The fourth proportional to 26,683.67, 36,823.51 and 14,747 is: 20,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,683.67 : 36,823.51 = 14,747 : x
  2. Step 2: Convert to fraction form
    26,683.67/36,823.51 = 14,747/x
  3. Step 3: Cross multiply
    26,683.67x = 36,823.51 × 14,747
  4. Step 4: Simplify right side
    26,683.67x = 543,036,228.24
  5. Step 5: Solve for x
    x = 543,036,228.24/26,683.67
  6. Step 6: Final answer
    x = 20,350.89

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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.