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Finding the Fourth Proportional to 12,134.96, 16,746.08 and 6,829.84

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Solution

The fourth proportional to 12,134.96, 16,746.08 and 6,829.84 is: 9,425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.96 : 16,746.08 = 6,829.84 : x
  2. Step 2: Convert to fraction form
    12,134.96/16,746.08 = 6,829.84/x
  3. Step 3: Cross multiply
    12,134.96x = 16,746.08 × 6,829.84
  4. Step 4: Simplify right side
    12,134.96x = 114,373,047.03
  5. Step 5: Solve for x
    x = 114,373,047.03/12,134.96
  6. Step 6: Final answer
    x = 9,425.09

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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.