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Finding the Fourth Proportional to 22,809.83, 31,475.75 and 12,737.67

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Solution

The fourth proportional to 22,809.83, 31,475.75 and 12,737.67 is: 17,576.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.83 : 31,475.75 = 12,737.67 : x
  2. Step 2: Convert to fraction form
    22,809.83/31,475.75 = 12,737.67/x
  3. Step 3: Cross multiply
    22,809.83x = 31,475.75 × 12,737.67
  4. Step 4: Simplify right side
    22,809.83x = 400,927,652.81
  5. Step 5: Solve for x
    x = 400,927,652.81/22,809.83
  6. Step 6: Final answer
    x = 17,576.97

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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.