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Finding the Fourth Proportional to 24,314, 33,553.34 and 13,136

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Solution

The fourth proportional to 24,314, 33,553.34 and 13,136 is: 18,127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314 : 33,553.34 = 13,136 : x
  2. Step 2: Convert to fraction form
    24,314/33,553.34 = 13,136/x
  3. Step 3: Cross multiply
    24,314x = 33,553.34 × 13,136
  4. Step 4: Simplify right side
    24,314x = 440,756,674.24
  5. Step 5: Solve for x
    x = 440,756,674.24/24,314
  6. Step 6: Final answer
    x = 18,127.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.