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Finding the Fourth Proportional to 13,133.28, 18,114.90 and 7,824

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Solution

The fourth proportional to 13,133.28, 18,114.90 and 7,824 is: 10,791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.28 : 18,114.90 = 7,824 : x
  2. Step 2: Convert to fraction form
    13,133.28/18,114.90 = 7,824/x
  3. Step 3: Cross multiply
    13,133.28x = 18,114.90 × 7,824
  4. Step 4: Simplify right side
    13,133.28x = 141,730,977.60
  5. Step 5: Solve for x
    x = 141,730,977.60/13,133.28
  6. Step 6: Final answer
    x = 10,791.74

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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.