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Finding the Fourth Proportional to 16,499.84, 22,770.36 and 9,426.16

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Solution

The fourth proportional to 16,499.84, 22,770.36 and 9,426.16 is: 13,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499.84 : 22,770.36 = 9,426.16 : x
  2. Step 2: Convert to fraction form
    16,499.84/22,770.36 = 9,426.16/x
  3. Step 3: Cross multiply
    16,499.84x = 22,770.36 × 9,426.16
  4. Step 4: Simplify right side
    16,499.84x = 214,637,056.62
  5. Step 5: Solve for x
    x = 214,637,056.62/16,499.84
  6. Step 6: Final answer
    x = 13,008.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.