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Finding the Fourth Proportional to 13,076.69, 18,045.32 and 7,411.77

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Solution

The fourth proportional to 13,076.69, 18,045.32 and 7,411.77 is: 10,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.69 : 18,045.32 = 7,411.77 : x
  2. Step 2: Convert to fraction form
    13,076.69/18,045.32 = 7,411.77/x
  3. Step 3: Cross multiply
    13,076.69x = 18,045.32 × 7,411.77
  4. Step 4: Simplify right side
    13,076.69x = 133,747,724.36
  5. Step 5: Solve for x
    x = 133,747,724.36/13,076.69
  6. Step 6: Final answer
    x = 10,227.95

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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.