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Finding the Fourth Proportional to 13,002.87, 19,504.11 and 3,142.08

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Solution

The fourth proportional to 13,002.87, 19,504.11 and 3,142.08 is: 4,713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.87 : 19,504.11 = 3,142.08 : x
  2. Step 2: Convert to fraction form
    13,002.87/19,504.11 = 3,142.08/x
  3. Step 3: Cross multiply
    13,002.87x = 19,504.11 × 3,142.08
  4. Step 4: Simplify right side
    13,002.87x = 61,283,473.95
  5. Step 5: Solve for x
    x = 61,283,473.95/13,002.87
  6. Step 6: Final answer
    x = 4,713.07

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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.