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Finding the Fourth Proportional to 16,422.84, 24,634.26 and 9,840.78

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Solution

The fourth proportional to 16,422.84, 24,634.26 and 9,840.78 is: 14,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.84 : 24,634.26 = 9,840.78 : x
  2. Step 2: Convert to fraction form
    16,422.84/24,634.26 = 9,840.78/x
  3. Step 3: Cross multiply
    16,422.84x = 24,634.26 × 9,840.78
  4. Step 4: Simplify right side
    16,422.84x = 242,420,333.12
  5. Step 5: Solve for x
    x = 242,420,333.12/16,422.84
  6. Step 6: Final answer
    x = 14,761.17

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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.