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Finding the Fourth Proportional to 13,505.88, 20,261.20 and 4,619.12

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Solution

The fourth proportional to 13,505.88, 20,261.20 and 4,619.12 is: 6,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.88 : 20,261.20 = 4,619.12 : x
  2. Step 2: Convert to fraction form
    13,505.88/20,261.20 = 4,619.12/x
  3. Step 3: Cross multiply
    13,505.88x = 20,261.20 × 4,619.12
  4. Step 4: Simplify right side
    13,505.88x = 93,588,914.14
  5. Step 5: Solve for x
    x = 93,588,914.14/13,505.88
  6. Step 6: Final answer
    x = 6,929.49

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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.