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Finding the Fourth Proportional to 27,604, 41,412.57 and 9,136

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Solution

The fourth proportional to 27,604, 41,412.57 and 9,136 is: 13,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,604 : 41,412.57 = 9,136 : x
  2. Step 2: Convert to fraction form
    27,604/41,412.57 = 9,136/x
  3. Step 3: Cross multiply
    27,604x = 41,412.57 × 9,136
  4. Step 4: Simplify right side
    27,604x = 378,345,239.52
  5. Step 5: Solve for x
    x = 378,345,239.52/27,604
  6. Step 6: Final answer
    x = 13,706.17

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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.