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Finding the Fourth Proportional to 12,128.36, 16,737.27 and 6,823.13

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Solution

The fourth proportional to 12,128.36, 16,737.27 and 6,823.13 is: 9,415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.36 : 16,737.27 = 6,823.13 : x
  2. Step 2: Convert to fraction form
    12,128.36/16,737.27 = 6,823.13/x
  3. Step 3: Cross multiply
    12,128.36x = 16,737.27 × 6,823.13
  4. Step 4: Simplify right side
    12,128.36x = 114,200,569.06
  5. Step 5: Solve for x
    x = 114,200,569.06/12,128.36
  6. Step 6: Final answer
    x = 9,415.99

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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.