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Finding the Fourth Proportional to 24,207.81, 33,408.57 and 13,598.07

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Solution

The fourth proportional to 24,207.81, 33,408.57 and 13,598.07 is: 18,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,207.81 : 33,408.57 = 13,598.07 : x
  2. Step 2: Convert to fraction form
    24,207.81/33,408.57 = 13,598.07/x
  3. Step 3: Cross multiply
    24,207.81x = 33,408.57 × 13,598.07
  4. Step 4: Simplify right side
    24,207.81x = 454,292,073.46
  5. Step 5: Solve for x
    x = 454,292,073.46/24,207.81
  6. Step 6: Final answer
    x = 18,766.34

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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.