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Finding the Fourth Proportional to 17,154.64, 23,677.09 and 10,442.44

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Solution

The fourth proportional to 17,154.64, 23,677.09 and 10,442.44 is: 14,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154.64 : 23,677.09 = 10,442.44 : x
  2. Step 2: Convert to fraction form
    17,154.64/23,677.09 = 10,442.44/x
  3. Step 3: Cross multiply
    17,154.64x = 23,677.09 × 10,442.44
  4. Step 4: Simplify right side
    17,154.64x = 247,246,506.40
  5. Step 5: Solve for x
    x = 247,246,506.40/17,154.64
  6. Step 6: Final answer
    x = 14,412.81

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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.