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Finding the Fourth Proportional to 13,616.30, 20,419.56 and 4,849.47

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Solution

The fourth proportional to 13,616.30, 20,419.56 and 4,849.47 is: 7,272.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.30 : 20,419.56 = 4,849.47 : x
  2. Step 2: Convert to fraction form
    13,616.30/20,419.56 = 4,849.47/x
  3. Step 3: Cross multiply
    13,616.30x = 20,419.56 × 4,849.47
  4. Step 4: Simplify right side
    13,616.30x = 99,024,043.63
  5. Step 5: Solve for x
    x = 99,024,043.63/13,616.30
  6. Step 6: Final answer
    x = 7,272.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.