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Finding the Fourth Proportional to 23,770.62, 35,653.86 and 14,407.85

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Solution

The fourth proportional to 23,770.62, 35,653.86 and 14,407.85 is: 21,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.62 : 35,653.86 = 14,407.85 : x
  2. Step 2: Convert to fraction form
    23,770.62/35,653.86 = 14,407.85/x
  3. Step 3: Cross multiply
    23,770.62x = 35,653.86 × 14,407.85
  4. Step 4: Simplify right side
    23,770.62x = 513,695,555.94
  5. Step 5: Solve for x
    x = 513,695,555.94/23,770.62
  6. Step 6: Final answer
    x = 21,610.52

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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.