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Finding the Fourth Proportional to 22,809.40, 31,476.20 and 12,737.76

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Solution

The fourth proportional to 22,809.40, 31,476.20 and 12,737.76 is: 17,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.40 : 31,476.20 = 12,737.76 : x
  2. Step 2: Convert to fraction form
    22,809.40/31,476.20 = 12,737.76/x
  3. Step 3: Cross multiply
    22,809.40x = 31,476.20 × 12,737.76
  4. Step 4: Simplify right side
    22,809.40x = 400,936,099.59
  5. Step 5: Solve for x
    x = 400,936,099.59/22,809.40
  6. Step 6: Final answer
    x = 17,577.67

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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.