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Finding the Fourth Proportional to 14,725.34, 22,071.94 and 7,234.06

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Solution

The fourth proportional to 14,725.34, 22,071.94 and 7,234.06 is: 10,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,725.34 : 22,071.94 = 7,234.06 : x
  2. Step 2: Convert to fraction form
    14,725.34/22,071.94 = 7,234.06/x
  3. Step 3: Cross multiply
    14,725.34x = 22,071.94 × 7,234.06
  4. Step 4: Simplify right side
    14,725.34x = 159,669,738.28
  5. Step 5: Solve for x
    x = 159,669,738.28/14,725.34
  6. Step 6: Final answer
    x = 10,843.20

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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.