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Finding the Fourth Proportional to 17,214.70, 23,756.40 and 11,242.84

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Solution

The fourth proportional to 17,214.70, 23,756.40 and 11,242.84 is: 15,515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.70 : 23,756.40 = 11,242.84 : x
  2. Step 2: Convert to fraction form
    17,214.70/23,756.40 = 11,242.84/x
  3. Step 3: Cross multiply
    17,214.70x = 23,756.40 × 11,242.84
  4. Step 4: Simplify right side
    17,214.70x = 267,089,404.18
  5. Step 5: Solve for x
    x = 267,089,404.18/17,214.70
  6. Step 6: Final answer
    x = 15,515.19

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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.