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Finding the Fourth Proportional to 14,896.01, 22,344 and 3,802.70

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Solution

The fourth proportional to 14,896.01, 22,344 and 3,802.70 is: 5,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.01 : 22,344 = 3,802.70 : x
  2. Step 2: Convert to fraction form
    14,896.01/22,344 = 3,802.70/x
  3. Step 3: Cross multiply
    14,896.01x = 22,344 × 3,802.70
  4. Step 4: Simplify right side
    14,896.01x = 84,967,528.80
  5. Step 5: Solve for x
    x = 84,967,528.80/14,896.01
  6. Step 6: Final answer
    x = 5,704.05

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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.