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Finding the Fourth Proportional to 23,677.40, 35,516.10 and 14,922.20

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Solution

The fourth proportional to 23,677.40, 35,516.10 and 14,922.20 is: 22,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.40 : 35,516.10 = 14,922.20 : x
  2. Step 2: Convert to fraction form
    23,677.40/35,516.10 = 14,922.20/x
  3. Step 3: Cross multiply
    23,677.40x = 35,516.10 × 14,922.20
  4. Step 4: Simplify right side
    23,677.40x = 529,978,347.42
  5. Step 5: Solve for x
    x = 529,978,347.42/23,677.40
  6. Step 6: Final answer
    x = 22,383.30

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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.