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Finding the Fourth Proportional to 13,101.59, 19,653.55 and 3,741.44

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Solution

The fourth proportional to 13,101.59, 19,653.55 and 3,741.44 is: 5,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.59 : 19,653.55 = 3,741.44 : x
  2. Step 2: Convert to fraction form
    13,101.59/19,653.55 = 3,741.44/x
  3. Step 3: Cross multiply
    13,101.59x = 19,653.55 × 3,741.44
  4. Step 4: Simplify right side
    13,101.59x = 73,532,470.49
  5. Step 5: Solve for x
    x = 73,532,470.49/13,101.59
  6. Step 6: Final answer
    x = 5,612.48

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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.