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Finding the Fourth Proportional to 13,398.64, 20,094.12 and 4,513

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Solution

The fourth proportional to 13,398.64, 20,094.12 and 4,513 is: 6,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.64 : 20,094.12 = 4,513 : x
  2. Step 2: Convert to fraction form
    13,398.64/20,094.12 = 4,513/x
  3. Step 3: Cross multiply
    13,398.64x = 20,094.12 × 4,513
  4. Step 4: Simplify right side
    13,398.64x = 90,684,763.56
  5. Step 5: Solve for x
    x = 90,684,763.56/13,398.64
  6. Step 6: Final answer
    x = 6,768.21

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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.