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Finding the Fourth Proportional to 23,476.99, 35,223.01 and 6,838.02

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Solution

The fourth proportional to 23,476.99, 35,223.01 and 6,838.02 is: 10,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,476.99 : 35,223.01 = 6,838.02 : x
  2. Step 2: Convert to fraction form
    23,476.99/35,223.01 = 6,838.02/x
  3. Step 3: Cross multiply
    23,476.99x = 35,223.01 × 6,838.02
  4. Step 4: Simplify right side
    23,476.99x = 240,855,629.75
  5. Step 5: Solve for x
    x = 240,855,629.75/23,476.99
  6. Step 6: Final answer
    x = 10,259.22

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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.