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Finding the Fourth Proportional to 17,407.34, 24,014.32 and 11,740.24

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Solution

The fourth proportional to 17,407.34, 24,014.32 and 11,740.24 is: 16,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.34 : 24,014.32 = 11,740.24 : x
  2. Step 2: Convert to fraction form
    17,407.34/24,014.32 = 11,740.24/x
  3. Step 3: Cross multiply
    17,407.34x = 24,014.32 × 11,740.24
  4. Step 4: Simplify right side
    17,407.34x = 281,933,760.17
  5. Step 5: Solve for x
    x = 281,933,760.17/17,407.34
  6. Step 6: Final answer
    x = 16,196.26

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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.