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Finding the Fourth Proportional to 14,571.84, 21,861.39 and 4,712.11

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Solution

The fourth proportional to 14,571.84, 21,861.39 and 4,712.11 is: 7,069.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.84 : 21,861.39 = 4,712.11 : x
  2. Step 2: Convert to fraction form
    14,571.84/21,861.39 = 4,712.11/x
  3. Step 3: Cross multiply
    14,571.84x = 21,861.39 × 4,712.11
  4. Step 4: Simplify right side
    14,571.84x = 103,013,274.43
  5. Step 5: Solve for x
    x = 103,013,274.43/14,571.84
  6. Step 6: Final answer
    x = 7,069.34

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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.