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Finding the Fourth Proportional to 24,465.54, 33,762.42 and 13,857.22

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Solution

The fourth proportional to 24,465.54, 33,762.42 and 13,857.22 is: 19,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,465.54 : 33,762.42 = 13,857.22 : x
  2. Step 2: Convert to fraction form
    24,465.54/33,762.42 = 13,857.22/x
  3. Step 3: Cross multiply
    24,465.54x = 33,762.42 × 13,857.22
  4. Step 4: Simplify right side
    24,465.54x = 467,853,281.67
  5. Step 5: Solve for x
    x = 467,853,281.67/24,465.54
  6. Step 6: Final answer
    x = 19,122.95

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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.