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Finding the Fourth Proportional to 13,435.14, 20,152.65 and 5,113.20

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Solution

The fourth proportional to 13,435.14, 20,152.65 and 5,113.20 is: 7,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.14 : 20,152.65 = 5,113.20 : x
  2. Step 2: Convert to fraction form
    13,435.14/20,152.65 = 5,113.20/x
  3. Step 3: Cross multiply
    13,435.14x = 20,152.65 × 5,113.20
  4. Step 4: Simplify right side
    13,435.14x = 103,044,529.98
  5. Step 5: Solve for x
    x = 103,044,529.98/13,435.14
  6. Step 6: Final answer
    x = 7,669.78

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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.