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Finding the Fourth Proportional to 13,387.36, 20,074.36 and 7,842.08

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Solution

The fourth proportional to 13,387.36, 20,074.36 and 7,842.08 is: 11,759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387.36 : 20,074.36 = 7,842.08 : x
  2. Step 2: Convert to fraction form
    13,387.36/20,074.36 = 7,842.08/x
  3. Step 3: Cross multiply
    13,387.36x = 20,074.36 × 7,842.08
  4. Step 4: Simplify right side
    13,387.36x = 157,424,737.07
  5. Step 5: Solve for x
    x = 157,424,737.07/13,387.36
  6. Step 6: Final answer
    x = 11,759.21

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1.5x scale

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.