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Finding the Fourth Proportional to 13,377.17, 18,461.54 and 7,409.41

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Solution

The fourth proportional to 13,377.17, 18,461.54 and 7,409.41 is: 10,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377.17 : 18,461.54 = 7,409.41 : x
  2. Step 2: Convert to fraction form
    13,377.17/18,461.54 = 7,409.41/x
  3. Step 3: Cross multiply
    13,377.17x = 18,461.54 × 7,409.41
  4. Step 4: Simplify right side
    13,377.17x = 136,789,091.46
  5. Step 5: Solve for x
    x = 136,789,091.46/13,377.17
  6. Step 6: Final answer
    x = 10,225.56

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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.