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Finding the Fourth Proportional to 24,391.49, 33,658.40 and 13,782.11

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Solution

The fourth proportional to 24,391.49, 33,658.40 and 13,782.11 is: 19,018.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,391.49 : 33,658.40 = 13,782.11 : x
  2. Step 2: Convert to fraction form
    24,391.49/33,658.40 = 13,782.11/x
  3. Step 3: Cross multiply
    24,391.49x = 33,658.40 × 13,782.11
  4. Step 4: Simplify right side
    24,391.49x = 463,883,637.39
  5. Step 5: Solve for x
    x = 463,883,637.39/24,391.49
  6. Step 6: Final answer
    x = 19,018.26

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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.