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Finding the Fourth Proportional to 13,002.87, 19,504.29 and 4,237.77

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Solution

The fourth proportional to 13,002.87, 19,504.29 and 4,237.77 is: 6,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.87 : 19,504.29 = 4,237.77 : x
  2. Step 2: Convert to fraction form
    13,002.87/19,504.29 = 4,237.77/x
  3. Step 3: Cross multiply
    13,002.87x = 19,504.29 × 4,237.77
  4. Step 4: Simplify right side
    13,002.87x = 82,654,695.03
  5. Step 5: Solve for x
    x = 82,654,695.03/13,002.87
  6. Step 6: Final answer
    x = 6,356.65

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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.