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Finding the Fourth Proportional to 22,754.64, 34,136 and 8,714.08

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Solution

The fourth proportional to 22,754.64, 34,136 and 8,714.08 is: 13,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.64 : 34,136 = 8,714.08 : x
  2. Step 2: Convert to fraction form
    22,754.64/34,136 = 8,714.08/x
  3. Step 3: Cross multiply
    22,754.64x = 34,136 × 8,714.08
  4. Step 4: Simplify right side
    22,754.64x = 297,463,834.88
  5. Step 5: Solve for x
    x = 297,463,834.88/22,754.64
  6. Step 6: Final answer
    x = 13,072.67

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Why These Related Problems?

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