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Finding the Fourth Proportional to 22,969.83, 31,698.36 and 13,416.33

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Solution

The fourth proportional to 22,969.83, 31,698.36 and 13,416.33 is: 18,514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.83 : 31,698.36 = 13,416.33 : x
  2. Step 2: Convert to fraction form
    22,969.83/31,698.36 = 13,416.33/x
  3. Step 3: Cross multiply
    22,969.83x = 31,698.36 × 13,416.33
  4. Step 4: Simplify right side
    22,969.83x = 425,275,658.22
  5. Step 5: Solve for x
    x = 425,275,658.22/22,969.83
  6. Step 6: Final answer
    x = 18,514.53

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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.