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Finding the Fourth Proportional to 13,377.98, 18,461.82 and 7,409.64

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Solution

The fourth proportional to 13,377.98, 18,461.82 and 7,409.64 is: 10,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377.98 : 18,461.82 = 7,409.64 : x
  2. Step 2: Convert to fraction form
    13,377.98/18,461.82 = 7,409.64/x
  3. Step 3: Cross multiply
    13,377.98x = 18,461.82 × 7,409.64
  4. Step 4: Simplify right side
    13,377.98x = 136,795,439.94
  5. Step 5: Solve for x
    x = 136,795,439.94/13,377.98
  6. Step 6: Final answer
    x = 10,225.42

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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.