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Finding the Fourth Proportional to 16,486, 24,721.61 and 9,825.64

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Solution

The fourth proportional to 16,486, 24,721.61 and 9,825.64 is: 14,734.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486 : 24,721.61 = 9,825.64 : x
  2. Step 2: Convert to fraction form
    16,486/24,721.61 = 9,825.64/x
  3. Step 3: Cross multiply
    16,486x = 24,721.61 × 9,825.64
  4. Step 4: Simplify right side
    16,486x = 242,905,640.08
  5. Step 5: Solve for x
    x = 242,905,640.08/16,486
  6. Step 6: Final answer
    x = 14,734.06

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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.