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Finding the Fourth Proportional to 13,435.50, 20,154.33 and 4,201.50

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Solution

The fourth proportional to 13,435.50, 20,154.33 and 4,201.50 is: 6,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.50 : 20,154.33 = 4,201.50 : x
  2. Step 2: Convert to fraction form
    13,435.50/20,154.33 = 4,201.50/x
  3. Step 3: Cross multiply
    13,435.50x = 20,154.33 × 4,201.50
  4. Step 4: Simplify right side
    13,435.50x = 84,678,417.50
  5. Step 5: Solve for x
    x = 84,678,417.50/13,435.50
  6. Step 6: Final answer
    x = 6,302.59

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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.