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Finding the Fourth Proportional to 16,538.75, 22,823.72 and 8,985.22

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Solution

The fourth proportional to 16,538.75, 22,823.72 and 8,985.22 is: 12,399.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.75 : 22,823.72 = 8,985.22 : x
  2. Step 2: Convert to fraction form
    16,538.75/22,823.72 = 8,985.22/x
  3. Step 3: Cross multiply
    16,538.75x = 22,823.72 × 8,985.22
  4. Step 4: Simplify right side
    16,538.75x = 205,075,986.37
  5. Step 5: Solve for x
    x = 205,075,986.37/16,538.75
  6. Step 6: Final answer
    x = 12,399.73

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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.