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Finding the Fourth Proportional to 12,096.45, 16,698.41 and 7,058.76

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Solution

The fourth proportional to 12,096.45, 16,698.41 and 7,058.76 is: 9,744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.45 : 16,698.41 = 7,058.76 : x
  2. Step 2: Convert to fraction form
    12,096.45/16,698.41 = 7,058.76/x
  3. Step 3: Cross multiply
    12,096.45x = 16,698.41 × 7,058.76
  4. Step 4: Simplify right side
    12,096.45x = 117,870,033.28
  5. Step 5: Solve for x
    x = 117,870,033.28/12,096.45
  6. Step 6: Final answer
    x = 9,744.18

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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.