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Finding the Fourth Proportional to 14,198, 21,301.40 and 4,964.08

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Solution

The fourth proportional to 14,198, 21,301.40 and 4,964.08 is: 7,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198 : 21,301.40 = 4,964.08 : x
  2. Step 2: Convert to fraction form
    14,198/21,301.40 = 4,964.08/x
  3. Step 3: Cross multiply
    14,198x = 21,301.40 × 4,964.08
  4. Step 4: Simplify right side
    14,198x = 105,741,853.71
  5. Step 5: Solve for x
    x = 105,741,853.71/14,198
  6. Step 6: Final answer
    x = 7,447.66

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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.