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Finding the Fourth Proportional to 17,400.21, 24,012.09 and 9,442.44

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Solution

The fourth proportional to 17,400.21, 24,012.09 and 9,442.44 is: 13,030.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,400.21 : 24,012.09 = 9,442.44 : x
  2. Step 2: Convert to fraction form
    17,400.21/24,012.09 = 9,442.44/x
  3. Step 3: Cross multiply
    17,400.21x = 24,012.09 × 9,442.44
  4. Step 4: Simplify right side
    17,400.21x = 226,732,719.10
  5. Step 5: Solve for x
    x = 226,732,719.10/17,400.21
  6. Step 6: Final answer
    x = 13,030.46

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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.