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Finding the Fourth Proportional to 22,823.85, 31,495.41 and 12,751.80

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Solution

The fourth proportional to 22,823.85, 31,495.41 and 12,751.80 is: 17,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.85 : 31,495.41 = 12,751.80 : x
  2. Step 2: Convert to fraction form
    22,823.85/31,495.41 = 12,751.80/x
  3. Step 3: Cross multiply
    22,823.85x = 31,495.41 × 12,751.80
  4. Step 4: Simplify right side
    22,823.85x = 401,623,169.24
  5. Step 5: Solve for x
    x = 401,623,169.24/22,823.85
  6. Step 6: Final answer
    x = 17,596.64

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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.