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Finding the Fourth Proportional to 13,376.95, 18,460.19 and 7,408.62

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Solution

The fourth proportional to 13,376.95, 18,460.19 and 7,408.62 is: 10,223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.95 : 18,460.19 = 7,408.62 : x
  2. Step 2: Convert to fraction form
    13,376.95/18,460.19 = 7,408.62/x
  3. Step 3: Cross multiply
    13,376.95x = 18,460.19 × 7,408.62
  4. Step 4: Simplify right side
    13,376.95x = 136,764,551.36
  5. Step 5: Solve for x
    x = 136,764,551.36/13,376.95
  6. Step 6: Final answer
    x = 10,223.90

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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.