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Finding the Fourth Proportional to 23,344.89, 35,017.64 and 7,762.52

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Solution

The fourth proportional to 23,344.89, 35,017.64 and 7,762.52 is: 11,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,344.89 : 35,017.64 = 7,762.52 : x
  2. Step 2: Convert to fraction form
    23,344.89/35,017.64 = 7,762.52/x
  3. Step 3: Cross multiply
    23,344.89x = 35,017.64 × 7,762.52
  4. Step 4: Simplify right side
    23,344.89x = 271,825,130.85
  5. Step 5: Solve for x
    x = 271,825,130.85/23,344.89
  6. Step 6: Final answer
    x = 11,643.88

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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.