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Finding the Fourth Proportional to 24,393.18, 33,662.20 and 13,782.18

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Solution

The fourth proportional to 24,393.18, 33,662.20 and 13,782.18 is: 19,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,393.18 : 33,662.20 = 13,782.18 : x
  2. Step 2: Convert to fraction form
    24,393.18/33,662.20 = 13,782.18/x
  3. Step 3: Cross multiply
    24,393.18x = 33,662.20 × 13,782.18
  4. Step 4: Simplify right side
    24,393.18x = 463,938,499.60
  5. Step 5: Solve for x
    x = 463,938,499.60/24,393.18
  6. Step 6: Final answer
    x = 19,019.19

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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.