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Finding the Fourth Proportional to 14,206.92, 21,313.74 and 6,415.68

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Solution

The fourth proportional to 14,206.92, 21,313.74 and 6,415.68 is: 9,625.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.92 : 21,313.74 = 6,415.68 : x
  2. Step 2: Convert to fraction form
    14,206.92/21,313.74 = 6,415.68/x
  3. Step 3: Cross multiply
    14,206.92x = 21,313.74 × 6,415.68
  4. Step 4: Simplify right side
    14,206.92x = 136,742,135.44
  5. Step 5: Solve for x
    x = 136,742,135.44/14,206.92
  6. Step 6: Final answer
    x = 9,625.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.