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Finding the Fourth Proportional to 12,128.54, 16,737.48 and 6,823.88

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Solution

The fourth proportional to 12,128.54, 16,737.48 and 6,823.88 is: 9,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.54 : 16,737.48 = 6,823.88 : x
  2. Step 2: Convert to fraction form
    12,128.54/16,737.48 = 6,823.88/x
  3. Step 3: Cross multiply
    12,128.54x = 16,737.48 × 6,823.88
  4. Step 4: Simplify right side
    12,128.54x = 114,214,555.02
  5. Step 5: Solve for x
    x = 114,214,555.02/12,128.54
  6. Step 6: Final answer
    x = 9,417.01

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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.