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Finding the Fourth Proportional to 22,823.88, 31,495.17 and 12,751.80

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Solution

The fourth proportional to 22,823.88, 31,495.17 and 12,751.80 is: 17,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.88 : 31,495.17 = 12,751.80 : x
  2. Step 2: Convert to fraction form
    22,823.88/31,495.17 = 12,751.80/x
  3. Step 3: Cross multiply
    22,823.88x = 31,495.17 × 12,751.80
  4. Step 4: Simplify right side
    22,823.88x = 401,620,108.81
  5. Step 5: Solve for x
    x = 401,620,108.81/22,823.88
  6. Step 6: Final answer
    x = 17,596.49

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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.