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Finding the Fourth Proportional to 20,150.64, 30,242.40 and 9,762.36

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Solution

The fourth proportional to 20,150.64, 30,242.40 and 9,762.36 is: 14,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,150.64 : 30,242.40 = 9,762.36 : x
  2. Step 2: Convert to fraction form
    20,150.64/30,242.40 = 9,762.36/x
  3. Step 3: Cross multiply
    20,150.64x = 30,242.40 × 9,762.36
  4. Step 4: Simplify right side
    20,150.64x = 295,237,196.06
  5. Step 5: Solve for x
    x = 295,237,196.06/20,150.64
  6. Step 6: Final answer
    x = 14,651.50

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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.