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Finding the Fourth Proportional to 13,109.81, 18,090.98 and 7,141.52

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Solution

The fourth proportional to 13,109.81, 18,090.98 and 7,141.52 is: 9,854.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.81 : 18,090.98 = 7,141.52 : x
  2. Step 2: Convert to fraction form
    13,109.81/18,090.98 = 7,141.52/x
  3. Step 3: Cross multiply
    13,109.81x = 18,090.98 × 7,141.52
  4. Step 4: Simplify right side
    13,109.81x = 129,197,059.78
  5. Step 5: Solve for x
    x = 129,197,059.78/13,109.81
  6. Step 6: Final answer
    x = 9,854.99

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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.