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Finding the Fourth Proportional to 23,862.42, 35,777.16 and 9,622.08

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Solution

The fourth proportional to 23,862.42, 35,777.16 and 9,622.08 is: 14,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,862.42 : 35,777.16 = 9,622.08 : x
  2. Step 2: Convert to fraction form
    23,862.42/35,777.16 = 9,622.08/x
  3. Step 3: Cross multiply
    23,862.42x = 35,777.16 × 9,622.08
  4. Step 4: Simplify right side
    23,862.42x = 344,250,695.69
  5. Step 5: Solve for x
    x = 344,250,695.69/23,862.42
  6. Step 6: Final answer
    x = 14,426.48

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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.