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Finding the Fourth Proportional to 12,128.58, 16,738.38 and 6,823.89

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Solution

The fourth proportional to 12,128.58, 16,738.38 and 6,823.89 is: 9,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.58 : 16,738.38 = 6,823.89 : x
  2. Step 2: Convert to fraction form
    12,128.58/16,738.38 = 6,823.89/x
  3. Step 3: Cross multiply
    12,128.58x = 16,738.38 × 6,823.89
  4. Step 4: Simplify right side
    12,128.58x = 114,220,863.90
  5. Step 5: Solve for x
    x = 114,220,863.90/12,128.58
  6. Step 6: Final answer
    x = 9,417.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.