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Finding the Fourth Proportional to 13,408.96, 18,503.56 and 7,440.28

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Solution

The fourth proportional to 13,408.96, 18,503.56 and 7,440.28 is: 10,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.96 : 18,503.56 = 7,440.28 : x
  2. Step 2: Convert to fraction form
    13,408.96/18,503.56 = 7,440.28/x
  3. Step 3: Cross multiply
    13,408.96x = 18,503.56 × 7,440.28
  4. Step 4: Simplify right side
    13,408.96x = 137,671,667.40
  5. Step 5: Solve for x
    x = 137,671,667.40/13,408.96
  6. Step 6: Final answer
    x = 10,267.14

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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.