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Finding the Fourth Proportional to 23,907.76, 35,863.56 and 7,269.28

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Solution

The fourth proportional to 23,907.76, 35,863.56 and 7,269.28 is: 10,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,907.76 : 35,863.56 = 7,269.28 : x
  2. Step 2: Convert to fraction form
    23,907.76/35,863.56 = 7,269.28/x
  3. Step 3: Cross multiply
    23,907.76x = 35,863.56 × 7,269.28
  4. Step 4: Simplify right side
    23,907.76x = 260,702,169.78
  5. Step 5: Solve for x
    x = 260,702,169.78/23,907.76
  6. Step 6: Final answer
    x = 10,904.50

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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.