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Finding the Fourth Proportional to 13,002.93, 19,506.42 and 4,235.81

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Solution

The fourth proportional to 13,002.93, 19,506.42 and 4,235.81 is: 6,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.93 : 19,506.42 = 4,235.81 : x
  2. Step 2: Convert to fraction form
    13,002.93/19,506.42 = 4,235.81/x
  3. Step 3: Cross multiply
    13,002.93x = 19,506.42 × 4,235.81
  4. Step 4: Simplify right side
    13,002.93x = 82,625,391.37
  5. Step 5: Solve for x
    x = 82,625,391.37/13,002.93
  6. Step 6: Final answer
    x = 6,354.37

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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.