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Finding the Fourth Proportional to 23,813.76, 35,722.08 and 6,947.28

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Solution

The fourth proportional to 23,813.76, 35,722.08 and 6,947.28 is: 10,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.76 : 35,722.08 = 6,947.28 : x
  2. Step 2: Convert to fraction form
    23,813.76/35,722.08 = 6,947.28/x
  3. Step 3: Cross multiply
    23,813.76x = 35,722.08 × 6,947.28
  4. Step 4: Simplify right side
    23,813.76x = 248,171,291.94
  5. Step 5: Solve for x
    x = 248,171,291.94/23,813.76
  6. Step 6: Final answer
    x = 10,421.34

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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.