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Finding the Fourth Proportional to 23,909.76, 35,866.56 and 7,271.28

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Solution

The fourth proportional to 23,909.76, 35,866.56 and 7,271.28 is: 10,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,909.76 : 35,866.56 = 7,271.28 : x
  2. Step 2: Convert to fraction form
    23,909.76/35,866.56 = 7,271.28/x
  3. Step 3: Cross multiply
    23,909.76x = 35,866.56 × 7,271.28
  4. Step 4: Simplify right side
    23,909.76x = 260,795,800.40
  5. Step 5: Solve for x
    x = 260,795,800.40/23,909.76
  6. Step 6: Final answer
    x = 10,907.50

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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.