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Finding the Fourth Proportional to 13,408.84, 18,503.31 and 7,440.13

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Solution

The fourth proportional to 13,408.84, 18,503.31 and 7,440.13 is: 10,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.84 : 18,503.31 = 7,440.13 : x
  2. Step 2: Convert to fraction form
    13,408.84/18,503.31 = 7,440.13/x
  3. Step 3: Cross multiply
    13,408.84x = 18,503.31 × 7,440.13
  4. Step 4: Simplify right side
    13,408.84x = 137,667,031.83
  5. Step 5: Solve for x
    x = 137,667,031.83/13,408.84
  6. Step 6: Final answer
    x = 10,266.89

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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.