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Finding the Fourth Proportional to 13,886.68, 19,163.53 and 7,513.25

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Solution

The fourth proportional to 13,886.68, 19,163.53 and 7,513.25 is: 10,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.68 : 19,163.53 = 7,513.25 : x
  2. Step 2: Convert to fraction form
    13,886.68/19,163.53 = 7,513.25/x
  3. Step 3: Cross multiply
    13,886.68x = 19,163.53 × 7,513.25
  4. Step 4: Simplify right side
    13,886.68x = 143,980,391.77
  5. Step 5: Solve for x
    x = 143,980,391.77/13,886.68
  6. Step 6: Final answer
    x = 10,368.24

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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.