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Finding the Fourth Proportional to 10,924.36, 16,460.23 and 9,019.24

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Solution

The fourth proportional to 10,924.36, 16,460.23 and 9,019.24 is: 13,589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.36 : 16,460.23 = 9,019.24 : x
  2. Step 2: Convert to fraction form
    10,924.36/16,460.23 = 9,019.24/x
  3. Step 3: Cross multiply
    10,924.36x = 16,460.23 × 9,019.24
  4. Step 4: Simplify right side
    10,924.36x = 148,458,764.83
  5. Step 5: Solve for x
    x = 148,458,764.83/10,924.36
  6. Step 6: Final answer
    x = 13,589.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.