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Finding the Fourth Proportional to 13,002.85, 19,506.17 and 4,235.59

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Solution

The fourth proportional to 13,002.85, 19,506.17 and 4,235.59 is: 6,354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.85 : 19,506.17 = 4,235.59 : x
  2. Step 2: Convert to fraction form
    13,002.85/19,506.17 = 4,235.59/x
  3. Step 3: Cross multiply
    13,002.85x = 19,506.17 × 4,235.59
  4. Step 4: Simplify right side
    13,002.85x = 82,620,138.59
  5. Step 5: Solve for x
    x = 82,620,138.59/13,002.85
  6. Step 6: Final answer
    x = 6,354.00

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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.