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Finding the Fourth Proportional to 17,969.32, 24,797.91 and 10,416.16

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Solution

The fourth proportional to 17,969.32, 24,797.91 and 10,416.16 is: 14,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969.32 : 24,797.91 = 10,416.16 : x
  2. Step 2: Convert to fraction form
    17,969.32/24,797.91 = 10,416.16/x
  3. Step 3: Cross multiply
    17,969.32x = 24,797.91 × 10,416.16
  4. Step 4: Simplify right side
    17,969.32x = 258,298,998.23
  5. Step 5: Solve for x
    x = 258,298,998.23/17,969.32
  6. Step 6: Final answer
    x = 14,374.44

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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.