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Finding the Fourth Proportional to 14,996.76, 22,495.50 and 5,136

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Solution

The fourth proportional to 14,996.76, 22,495.50 and 5,136 is: 7,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,996.76 : 22,495.50 = 5,136 : x
  2. Step 2: Convert to fraction form
    14,996.76/22,495.50 = 5,136/x
  3. Step 3: Cross multiply
    14,996.76x = 22,495.50 × 5,136
  4. Step 4: Simplify right side
    14,996.76x = 115,536,888
  5. Step 5: Solve for x
    x = 115,536,888/14,996.76
  6. Step 6: Final answer
    x = 7,704.12

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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.