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Finding the Fourth Proportional to 13,108.97, 18,090.54 and 7,140.69

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Solution

The fourth proportional to 13,108.97, 18,090.54 and 7,140.69 is: 9,854.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108.97 : 18,090.54 = 7,140.69 : x
  2. Step 2: Convert to fraction form
    13,108.97/18,090.54 = 7,140.69/x
  3. Step 3: Cross multiply
    13,108.97x = 18,090.54 × 7,140.69
  4. Step 4: Simplify right side
    13,108.97x = 129,178,938.07
  5. Step 5: Solve for x
    x = 129,178,938.07/13,108.97
  6. Step 6: Final answer
    x = 9,854.24

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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.