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Finding the Fourth Proportional to 10,927.36, 16,464.76 and 9,022.24

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Solution

The fourth proportional to 10,927.36, 16,464.76 and 9,022.24 is: 13,594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927.36 : 16,464.76 = 9,022.24 : x
  2. Step 2: Convert to fraction form
    10,927.36/16,464.76 = 9,022.24/x
  3. Step 3: Cross multiply
    10,927.36x = 16,464.76 × 9,022.24
  4. Step 4: Simplify right side
    10,927.36x = 148,549,016.26
  5. Step 5: Solve for x
    x = 148,549,016.26/10,927.36
  6. Step 6: Final answer
    x = 13,594.23

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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.