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Finding the Fourth Proportional to 23,682.42, 35,519.76 and 9,641.88

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Solution

The fourth proportional to 23,682.42, 35,519.76 and 9,641.88 is: 14,461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.42 : 35,519.76 = 9,641.88 : x
  2. Step 2: Convert to fraction form
    23,682.42/35,519.76 = 9,641.88/x
  3. Step 3: Cross multiply
    23,682.42x = 35,519.76 × 9,641.88
  4. Step 4: Simplify right side
    23,682.42x = 342,477,263.55
  5. Step 5: Solve for x
    x = 342,477,263.55/23,682.42
  6. Step 6: Final answer
    x = 14,461.24

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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.