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Finding the Fourth Proportional to 12,135.15, 16,746.86 and 6,830.17

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Solution

The fourth proportional to 12,135.15, 16,746.86 and 6,830.17 is: 9,425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.15 : 16,746.86 = 6,830.17 : x
  2. Step 2: Convert to fraction form
    12,135.15/16,746.86 = 6,830.17/x
  3. Step 3: Cross multiply
    12,135.15x = 16,746.86 × 6,830.17
  4. Step 4: Simplify right side
    12,135.15x = 114,383,875.97
  5. Step 5: Solve for x
    x = 114,383,875.97/12,135.15
  6. Step 6: Final answer
    x = 9,425.83

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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.