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Finding the Fourth Proportional to 23,624.34, 35,440.86 and 9,774.42

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Solution

The fourth proportional to 23,624.34, 35,440.86 and 9,774.42 is: 14,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624.34 : 35,440.86 = 9,774.42 : x
  2. Step 2: Convert to fraction form
    23,624.34/35,440.86 = 9,774.42/x
  3. Step 3: Cross multiply
    23,624.34x = 35,440.86 × 9,774.42
  4. Step 4: Simplify right side
    23,624.34x = 346,413,850.80
  5. Step 5: Solve for x
    x = 346,413,850.80/23,624.34
  6. Step 6: Final answer
    x = 14,663.43

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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.