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Finding the Fourth Proportional to 13,002.92, 19,506 and 4,235.48

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Solution

The fourth proportional to 13,002.92, 19,506 and 4,235.48 is: 6,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.92 : 19,506 = 4,235.48 : x
  2. Step 2: Convert to fraction form
    13,002.92/19,506 = 4,235.48/x
  3. Step 3: Cross multiply
    13,002.92x = 19,506 × 4,235.48
  4. Step 4: Simplify right side
    13,002.92x = 82,617,272.88
  5. Step 5: Solve for x
    x = 82,617,272.88/13,002.92
  6. Step 6: Final answer
    x = 6,353.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.