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Finding the Fourth Proportional to 16,774.78, 23,146.44 and 9,699.85

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Solution

The fourth proportional to 16,774.78, 23,146.44 and 9,699.85 is: 13,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,774.78 : 23,146.44 = 9,699.85 : x
  2. Step 2: Convert to fraction form
    16,774.78/23,146.44 = 9,699.85/x
  3. Step 3: Cross multiply
    16,774.78x = 23,146.44 × 9,699.85
  4. Step 4: Simplify right side
    16,774.78x = 224,516,996.03
  5. Step 5: Solve for x
    x = 224,516,996.03/16,774.78
  6. Step 6: Final answer
    x = 13,384.20

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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.