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Finding the Fourth Proportional to 20,860.88, 31,274.20 and 9,762.16

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Solution

The fourth proportional to 20,860.88, 31,274.20 and 9,762.16 is: 14,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,860.88 : 31,274.20 = 9,762.16 : x
  2. Step 2: Convert to fraction form
    20,860.88/31,274.20 = 9,762.16/x
  3. Step 3: Cross multiply
    20,860.88x = 31,274.20 × 9,762.16
  4. Step 4: Simplify right side
    20,860.88x = 305,303,744.27
  5. Step 5: Solve for x
    x = 305,303,744.27/20,860.88
  6. Step 6: Final answer
    x = 14,635.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.