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Finding the Fourth Proportional to 21,143.40, 31,715.36 and 8,491.72

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Solution

The fourth proportional to 21,143.40, 31,715.36 and 8,491.72 is: 12,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143.40 : 31,715.36 = 8,491.72 : x
  2. Step 2: Convert to fraction form
    21,143.40/31,715.36 = 8,491.72/x
  3. Step 3: Cross multiply
    21,143.40x = 31,715.36 × 8,491.72
  4. Step 4: Simplify right side
    21,143.40x = 269,317,956.82
  5. Step 5: Solve for x
    x = 269,317,956.82/21,143.40
  6. Step 6: Final answer
    x = 12,737.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.