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Finding the Fourth Proportional to 12,096.30, 16,698.84 and 7,626.93

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Solution

The fourth proportional to 12,096.30, 16,698.84 and 7,626.93 is: 10,528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.30 : 16,698.84 = 7,626.93 : x
  2. Step 2: Convert to fraction form
    12,096.30/16,698.84 = 7,626.93/x
  3. Step 3: Cross multiply
    12,096.30x = 16,698.84 × 7,626.93
  4. Step 4: Simplify right side
    12,096.30x = 127,360,883.76
  5. Step 5: Solve for x
    x = 127,360,883.76/12,096.30
  6. Step 6: Final answer
    x = 10,528.91

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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.