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Finding the Fourth Proportional to 13,607.90, 20,411.92 and 4,843.50

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Solution

The fourth proportional to 13,607.90, 20,411.92 and 4,843.50 is: 7,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.90 : 20,411.92 = 4,843.50 : x
  2. Step 2: Convert to fraction form
    13,607.90/20,411.92 = 4,843.50/x
  3. Step 3: Cross multiply
    13,607.90x = 20,411.92 × 4,843.50
  4. Step 4: Simplify right side
    13,607.90x = 98,865,134.52
  5. Step 5: Solve for x
    x = 98,865,134.52/13,607.90
  6. Step 6: Final answer
    x = 7,265.27

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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.