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Finding the Fourth Proportional to 16,294.67, 24,443.31 and 5,202.93

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Solution

The fourth proportional to 16,294.67, 24,443.31 and 5,202.93 is: 7,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.67 : 24,443.31 = 5,202.93 : x
  2. Step 2: Convert to fraction form
    16,294.67/24,443.31 = 5,202.93/x
  3. Step 3: Cross multiply
    16,294.67x = 24,443.31 × 5,202.93
  4. Step 4: Simplify right side
    16,294.67x = 127,176,830.90
  5. Step 5: Solve for x
    x = 127,176,830.90/16,294.67
  6. Step 6: Final answer
    x = 7,804.81

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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.