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Finding the Fourth Proportional to 13,377.78, 18,461.50 and 7,409.56

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Solution

The fourth proportional to 13,377.78, 18,461.50 and 7,409.56 is: 10,225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377.78 : 18,461.50 = 7,409.56 : x
  2. Step 2: Convert to fraction form
    13,377.78/18,461.50 = 7,409.56/x
  3. Step 3: Cross multiply
    13,377.78x = 18,461.50 × 7,409.56
  4. Step 4: Simplify right side
    13,377.78x = 136,791,591.94
  5. Step 5: Solve for x
    x = 136,791,591.94/13,377.78
  6. Step 6: Final answer
    x = 10,225.28

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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.