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Finding the Fourth Proportional to 22,828.42, 31,503.29 and 12,757.24

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Solution

The fourth proportional to 22,828.42, 31,503.29 and 12,757.24 is: 17,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,828.42 : 31,503.29 = 12,757.24 : x
  2. Step 2: Convert to fraction form
    22,828.42/31,503.29 = 12,757.24/x
  3. Step 3: Cross multiply
    22,828.42x = 31,503.29 × 12,757.24
  4. Step 4: Simplify right side
    22,828.42x = 401,895,031.32
  5. Step 5: Solve for x
    x = 401,895,031.32/22,828.42
  6. Step 6: Final answer
    x = 17,605.03

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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.