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Finding the Fourth Proportional to 23,661.91, 35,468.16 and 9,631.70

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Solution

The fourth proportional to 23,661.91, 35,468.16 and 9,631.70 is: 14,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,661.91 : 35,468.16 = 9,631.70 : x
  2. Step 2: Convert to fraction form
    23,661.91/35,468.16 = 9,631.70/x
  3. Step 3: Cross multiply
    23,661.91x = 35,468.16 × 9,631.70
  4. Step 4: Simplify right side
    23,661.91x = 341,618,676.67
  5. Step 5: Solve for x
    x = 341,618,676.67/23,661.91
  6. Step 6: Final answer
    x = 14,437.49

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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.