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Finding the Fourth Proportional to 28,505.69, 42,759.26 and 13,509.29

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Solution

The fourth proportional to 28,505.69, 42,759.26 and 13,509.29 is: 20,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,505.69 : 42,759.26 = 13,509.29 : x
  2. Step 2: Convert to fraction form
    28,505.69/42,759.26 = 13,509.29/x
  3. Step 3: Cross multiply
    28,505.69x = 42,759.26 × 13,509.29
  4. Step 4: Simplify right side
    28,505.69x = 577,647,243.53
  5. Step 5: Solve for x
    x = 577,647,243.53/28,505.69
  6. Step 6: Final answer
    x = 20,264.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.