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Finding the Fourth Proportional to 22,606.91, 31,197.91 and 12,535.77

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Solution

The fourth proportional to 22,606.91, 31,197.91 and 12,535.77 is: 17,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606.91 : 31,197.91 = 12,535.77 : x
  2. Step 2: Convert to fraction form
    22,606.91/31,197.91 = 12,535.77/x
  3. Step 3: Cross multiply
    22,606.91x = 31,197.91 × 12,535.77
  4. Step 4: Simplify right side
    22,606.91x = 391,089,870.90
  5. Step 5: Solve for x
    x = 391,089,870.90/22,606.91
  6. Step 6: Final answer
    x = 17,299.57

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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.