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Finding the Fourth Proportional to 13,744.61, 18,967.61 and 7,457.03

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Solution

The fourth proportional to 13,744.61, 18,967.61 and 7,457.03 is: 10,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.61 : 18,967.61 = 7,457.03 : x
  2. Step 2: Convert to fraction form
    13,744.61/18,967.61 = 7,457.03/x
  3. Step 3: Cross multiply
    13,744.61x = 18,967.61 × 7,457.03
  4. Step 4: Simplify right side
    13,744.61x = 141,442,036.80
  5. Step 5: Solve for x
    x = 141,442,036.80/13,744.61
  6. Step 6: Final answer
    x = 10,290.73

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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.