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Finding the Fourth Proportional to 16,237.50, 22,407.75 and 9,163.77

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Solution

The fourth proportional to 16,237.50, 22,407.75 and 9,163.77 is: 12,646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,237.50 : 22,407.75 = 9,163.77 : x
  2. Step 2: Convert to fraction form
    16,237.50/22,407.75 = 9,163.77/x
  3. Step 3: Cross multiply
    16,237.50x = 22,407.75 × 9,163.77
  4. Step 4: Simplify right side
    16,237.50x = 205,339,467.22
  5. Step 5: Solve for x
    x = 205,339,467.22/16,237.50
  6. Step 6: Final answer
    x = 12,646.00

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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.