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Finding the Fourth Proportional to 17,077.60, 23,568.90 and 10,009.96

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Solution

The fourth proportional to 17,077.60, 23,568.90 and 10,009.96 is: 13,814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.60 : 23,568.90 = 10,009.96 : x
  2. Step 2: Convert to fraction form
    17,077.60/23,568.90 = 10,009.96/x
  3. Step 3: Cross multiply
    17,077.60x = 23,568.90 × 10,009.96
  4. Step 4: Simplify right side
    17,077.60x = 235,923,746.24
  5. Step 5: Solve for x
    x = 235,923,746.24/17,077.60
  6. Step 6: Final answer
    x = 13,814.81

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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.