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Finding the Fourth Proportional to 13,187.43, 18,199.08 and 7,523.01

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Solution

The fourth proportional to 13,187.43, 18,199.08 and 7,523.01 is: 10,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.43 : 18,199.08 = 7,523.01 : x
  2. Step 2: Convert to fraction form
    13,187.43/18,199.08 = 7,523.01/x
  3. Step 3: Cross multiply
    13,187.43x = 18,199.08 × 7,523.01
  4. Step 4: Simplify right side
    13,187.43x = 136,911,860.83
  5. Step 5: Solve for x
    x = 136,911,860.83/13,187.43
  6. Step 6: Final answer
    x = 10,382.00

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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.