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Finding the Fourth Proportional to 23,802.87, 35,709.29 and 7,164.12

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Solution

The fourth proportional to 23,802.87, 35,709.29 and 7,164.12 is: 10,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.87 : 35,709.29 = 7,164.12 : x
  2. Step 2: Convert to fraction form
    23,802.87/35,709.29 = 7,164.12/x
  3. Step 3: Cross multiply
    23,802.87x = 35,709.29 × 7,164.12
  4. Step 4: Simplify right side
    23,802.87x = 255,825,478.04
  5. Step 5: Solve for x
    x = 255,825,478.04/23,802.87
  6. Step 6: Final answer
    x = 10,747.68

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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.