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Finding the Fourth Proportional to 13,886.40, 19,163.16 and 7,598.88

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Solution

The fourth proportional to 13,886.40, 19,163.16 and 7,598.88 is: 10,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.40 : 19,163.16 = 7,598.88 : x
  2. Step 2: Convert to fraction form
    13,886.40/19,163.16 = 7,598.88/x
  3. Step 3: Cross multiply
    13,886.40x = 19,163.16 × 7,598.88
  4. Step 4: Simplify right side
    13,886.40x = 145,618,553.26
  5. Step 5: Solve for x
    x = 145,618,553.26/13,886.40
  6. Step 6: Final answer
    x = 10,486.42

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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.