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Finding the Fourth Proportional to 13,431.46, 18,535.43 and 7,462.99

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Solution

The fourth proportional to 13,431.46, 18,535.43 and 7,462.99 is: 10,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.46 : 18,535.43 = 7,462.99 : x
  2. Step 2: Convert to fraction form
    13,431.46/18,535.43 = 7,462.99/x
  3. Step 3: Cross multiply
    13,431.46x = 18,535.43 × 7,462.99
  4. Step 4: Simplify right side
    13,431.46x = 138,329,673.07
  5. Step 5: Solve for x
    x = 138,329,673.07/13,431.46
  6. Step 6: Final answer
    x = 10,298.93

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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.