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Finding the Fourth Proportional to 13,374.57, 18,455.10 and 7,406.09

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Solution

The fourth proportional to 13,374.57, 18,455.10 and 7,406.09 is: 10,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.57 : 18,455.10 = 7,406.09 : x
  2. Step 2: Convert to fraction form
    13,374.57/18,455.10 = 7,406.09/x
  3. Step 3: Cross multiply
    13,374.57x = 18,455.10 × 7,406.09
  4. Step 4: Simplify right side
    13,374.57x = 136,680,131.56
  5. Step 5: Solve for x
    x = 136,680,131.56/13,374.57
  6. Step 6: Final answer
    x = 10,219.40

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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.