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Finding the Fourth Proportional to 16,770.84, 23,130.02 and 10,393

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Solution

The fourth proportional to 16,770.84, 23,130.02 and 10,393 is: 14,333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,770.84 : 23,130.02 = 10,393 : x
  2. Step 2: Convert to fraction form
    16,770.84/23,130.02 = 10,393/x
  3. Step 3: Cross multiply
    16,770.84x = 23,130.02 × 10,393
  4. Step 4: Simplify right side
    16,770.84x = 240,390,297.86
  5. Step 5: Solve for x
    x = 240,390,297.86/16,770.84
  6. Step 6: Final answer
    x = 14,333.83

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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.