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Finding the Fourth Proportional to 13,381.00, 18,465.44 and 7,412.58

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Solution

The fourth proportional to 13,381.00, 18,465.44 and 7,412.58 is: 10,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.00 : 18,465.44 = 7,412.58 : x
  2. Step 2: Convert to fraction form
    13,381.00/18,465.44 = 7,412.58/x
  3. Step 3: Cross multiply
    13,381.00x = 18,465.44 × 7,412.58
  4. Step 4: Simplify right side
    13,381.00x = 136,876,514.17
  5. Step 5: Solve for x
    x = 136,876,514.17/13,381.00
  6. Step 6: Final answer
    x = 10,229.17

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