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Finding the Fourth Proportional to 14,626.16, 21,939.72 and 4,238

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Solution

The fourth proportional to 14,626.16, 21,939.72 and 4,238 is: 6,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,626.16 : 21,939.72 = 4,238 : x
  2. Step 2: Convert to fraction form
    14,626.16/21,939.72 = 4,238/x
  3. Step 3: Cross multiply
    14,626.16x = 21,939.72 × 4,238
  4. Step 4: Simplify right side
    14,626.16x = 92,980,533.36
  5. Step 5: Solve for x
    x = 92,980,533.36/14,626.16
  6. Step 6: Final answer
    x = 6,357.14

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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.