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Finding the Fourth Proportional to 13,415.94, 20,124.27 and 5,094.90

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Solution

The fourth proportional to 13,415.94, 20,124.27 and 5,094.90 is: 7,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.94 : 20,124.27 = 5,094.90 : x
  2. Step 2: Convert to fraction form
    13,415.94/20,124.27 = 5,094.90/x
  3. Step 3: Cross multiply
    13,415.94x = 20,124.27 × 5,094.90
  4. Step 4: Simplify right side
    13,415.94x = 102,531,143.22
  5. Step 5: Solve for x
    x = 102,531,143.22/13,415.94
  6. Step 6: Final answer
    x = 7,642.49

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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.