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Finding the Fourth Proportional to 17,370.64, 23,971.56 and 9,412.86

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Solution

The fourth proportional to 17,370.64, 23,971.56 and 9,412.86 is: 12,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,370.64 : 23,971.56 = 9,412.86 : x
  2. Step 2: Convert to fraction form
    17,370.64/23,971.56 = 9,412.86/x
  3. Step 3: Cross multiply
    17,370.64x = 23,971.56 × 9,412.86
  4. Step 4: Simplify right side
    17,370.64x = 225,640,938.26
  5. Step 5: Solve for x
    x = 225,640,938.26/17,370.64
  6. Step 6: Final answer
    x = 12,989.79

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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.