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Finding the Fourth Proportional to 22,709.81, 31,339.74 and 12,638.67

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Solution

The fourth proportional to 22,709.81, 31,339.74 and 12,638.67 is: 17,441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.81 : 31,339.74 = 12,638.67 : x
  2. Step 2: Convert to fraction form
    22,709.81/31,339.74 = 12,638.67/x
  3. Step 3: Cross multiply
    22,709.81x = 31,339.74 × 12,638.67
  4. Step 4: Simplify right side
    22,709.81x = 396,092,710.10
  5. Step 5: Solve for x
    x = 396,092,710.10/22,709.81
  6. Step 6: Final answer
    x = 17,441.48

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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.