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Finding the Fourth Proportional to 14,471.46, 21,706.54 and 6,034.49

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Solution

The fourth proportional to 14,471.46, 21,706.54 and 6,034.49 is: 9,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.46 : 21,706.54 = 6,034.49 : x
  2. Step 2: Convert to fraction form
    14,471.46/21,706.54 = 6,034.49/x
  3. Step 3: Cross multiply
    14,471.46x = 21,706.54 × 6,034.49
  4. Step 4: Simplify right side
    14,471.46x = 130,987,811.87
  5. Step 5: Solve for x
    x = 130,987,811.87/14,471.46
  6. Step 6: Final answer
    x = 9,051.46

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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.