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Finding the Fourth Proportional to 13,377.95, 18,461.34 and 7,409.49

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Solution

The fourth proportional to 13,377.95, 18,461.34 and 7,409.49 is: 10,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377.95 : 18,461.34 = 7,409.49 : x
  2. Step 2: Convert to fraction form
    13,377.95/18,461.34 = 7,409.49/x
  3. Step 3: Cross multiply
    13,377.95x = 18,461.34 × 7,409.49
  4. Step 4: Simplify right side
    13,377.95x = 136,789,044.89
  5. Step 5: Solve for x
    x = 136,789,044.89/13,377.95
  6. Step 6: Final answer
    x = 10,224.96

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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.