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Finding the Fourth Proportional to 14,182.28, 21,266.94 and 4,946.12

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Solution

The fourth proportional to 14,182.28, 21,266.94 and 4,946.12 is: 7,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.28 : 21,266.94 = 4,946.12 : x
  2. Step 2: Convert to fraction form
    14,182.28/21,266.94 = 4,946.12/x
  3. Step 3: Cross multiply
    14,182.28x = 21,266.94 × 4,946.12
  4. Step 4: Simplify right side
    14,182.28x = 105,188,837.27
  5. Step 5: Solve for x
    x = 105,188,837.27/14,182.28
  6. Step 6: Final answer
    x = 7,416.92

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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.