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Finding the Fourth Proportional to 13,886.46, 19,163.27 and 7,513.03

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Solution

The fourth proportional to 13,886.46, 19,163.27 and 7,513.03 is: 10,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.46 : 19,163.27 = 7,513.03 : x
  2. Step 2: Convert to fraction form
    13,886.46/19,163.27 = 7,513.03/x
  3. Step 3: Cross multiply
    13,886.46x = 19,163.27 × 7,513.03
  4. Step 4: Simplify right side
    13,886.46x = 143,974,256.71
  5. Step 5: Solve for x
    x = 143,974,256.71/13,886.46
  6. Step 6: Final answer
    x = 10,367.96

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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.