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Finding the Fourth Proportional to 17,374.64, 23,976.42 and 10,296.86

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Solution

The fourth proportional to 17,374.64, 23,976.42 and 10,296.86 is: 14,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,374.64 : 23,976.42 = 10,296.86 : x
  2. Step 2: Convert to fraction form
    17,374.64/23,976.42 = 10,296.86/x
  3. Step 3: Cross multiply
    17,374.64x = 23,976.42 × 10,296.86
  4. Step 4: Simplify right side
    17,374.64x = 246,881,840.04
  5. Step 5: Solve for x
    x = 246,881,840.04/17,374.64
  6. Step 6: Final answer
    x = 14,209.32

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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.