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Finding the Fourth Proportional to 13,123.22, 18,109.98 and 7,155

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Solution

The fourth proportional to 13,123.22, 18,109.98 and 7,155 is: 9,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.22 : 18,109.98 = 7,155 : x
  2. Step 2: Convert to fraction form
    13,123.22/18,109.98 = 7,155/x
  3. Step 3: Cross multiply
    13,123.22x = 18,109.98 × 7,155
  4. Step 4: Simplify right side
    13,123.22x = 129,576,906.90
  5. Step 5: Solve for x
    x = 129,576,906.90/13,123.22
  6. Step 6: Final answer
    x = 9,873.87

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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.