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Finding the Fourth Proportional to 22,538.88, 31,103.87 and 12,467.07

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Solution

The fourth proportional to 22,538.88, 31,103.87 and 12,467.07 is: 17,204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.88 : 31,103.87 = 12,467.07 : x
  2. Step 2: Convert to fraction form
    22,538.88/31,103.87 = 12,467.07/x
  3. Step 3: Cross multiply
    22,538.88x = 31,103.87 × 12,467.07
  4. Step 4: Simplify right side
    22,538.88x = 387,774,062.23
  5. Step 5: Solve for x
    x = 387,774,062.23/22,538.88
  6. Step 6: Final answer
    x = 17,204.67

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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.