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Finding the Fourth Proportional to 13,002.77, 19,506.17 and 4,235.64

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Solution

The fourth proportional to 13,002.77, 19,506.17 and 4,235.64 is: 6,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.77 : 19,506.17 = 4,235.64 : x
  2. Step 2: Convert to fraction form
    13,002.77/19,506.17 = 4,235.64/x
  3. Step 3: Cross multiply
    13,002.77x = 19,506.17 × 4,235.64
  4. Step 4: Simplify right side
    13,002.77x = 82,621,124.49
  5. Step 5: Solve for x
    x = 82,621,124.49/13,002.77
  6. Step 6: Final answer
    x = 6,354.12

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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.