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Finding the Fourth Proportional to 22,136.48, 33,214.54 and 11,604

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Solution

The fourth proportional to 22,136.48, 33,214.54 and 11,604 is: 17,411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,136.48 : 33,214.54 = 11,604 : x
  2. Step 2: Convert to fraction form
    22,136.48/33,214.54 = 11,604/x
  3. Step 3: Cross multiply
    22,136.48x = 33,214.54 × 11,604
  4. Step 4: Simplify right side
    22,136.48x = 385,421,522.16
  5. Step 5: Solve for x
    x = 385,421,522.16/22,136.48
  6. Step 6: Final answer
    x = 17,411.15

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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.