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Finding the Fourth Proportional to 21,136.68, 31,705.02 and 5,553

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Solution

The fourth proportional to 21,136.68, 31,705.02 and 5,553 is: 8,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136.68 : 31,705.02 = 5,553 : x
  2. Step 2: Convert to fraction form
    21,136.68/31,705.02 = 5,553/x
  3. Step 3: Cross multiply
    21,136.68x = 31,705.02 × 5,553
  4. Step 4: Simplify right side
    21,136.68x = 176,057,976.06
  5. Step 5: Solve for x
    x = 176,057,976.06/21,136.68
  6. Step 6: Final answer
    x = 8,329.50

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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.