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Finding the Fourth Proportional to 16,083.65, 24,130.37 and 7,762.12

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Solution

The fourth proportional to 16,083.65, 24,130.37 and 7,762.12 is: 11,645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.65 : 24,130.37 = 7,762.12 : x
  2. Step 2: Convert to fraction form
    16,083.65/24,130.37 = 7,762.12/x
  3. Step 3: Cross multiply
    16,083.65x = 24,130.37 × 7,762.12
  4. Step 4: Simplify right side
    16,083.65x = 187,302,786.66
  5. Step 5: Solve for x
    x = 187,302,786.66/16,083.65
  6. Step 6: Final answer
    x = 11,645.54

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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.