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Finding the Fourth Proportional to 13,410.78, 20,128.30 and 7,176.06

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Solution

The fourth proportional to 13,410.78, 20,128.30 and 7,176.06 is: 10,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.78 : 20,128.30 = 7,176.06 : x
  2. Step 2: Convert to fraction form
    13,410.78/20,128.30 = 7,176.06/x
  3. Step 3: Cross multiply
    13,410.78x = 20,128.30 × 7,176.06
  4. Step 4: Simplify right side
    13,410.78x = 144,441,888.50
  5. Step 5: Solve for x
    x = 144,441,888.50/13,410.78
  6. Step 6: Final answer
    x = 10,770.58

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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.