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Finding the Fourth Proportional to 13,482.57, 18,607.02 and 7,433.91

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Solution

The fourth proportional to 13,482.57, 18,607.02 and 7,433.91 is: 10,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482.57 : 18,607.02 = 7,433.91 : x
  2. Step 2: Convert to fraction form
    13,482.57/18,607.02 = 7,433.91/x
  3. Step 3: Cross multiply
    13,482.57x = 18,607.02 × 7,433.91
  4. Step 4: Simplify right side
    13,482.57x = 138,322,912.05
  5. Step 5: Solve for x
    x = 138,322,912.05/13,482.57
  6. Step 6: Final answer
    x = 10,259.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.