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Finding the Fourth Proportional to 23,800.64, 35,692.73 and 9,756.68

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Solution

The fourth proportional to 23,800.64, 35,692.73 and 9,756.68 is: 14,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800.64 : 35,692.73 = 9,756.68 : x
  2. Step 2: Convert to fraction form
    23,800.64/35,692.73 = 9,756.68/x
  3. Step 3: Cross multiply
    23,800.64x = 35,692.73 × 9,756.68
  4. Step 4: Simplify right side
    23,800.64x = 348,242,496.15
  5. Step 5: Solve for x
    x = 348,242,496.15/23,800.64
  6. Step 6: Final answer
    x = 14,631.64

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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.