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Finding the Fourth Proportional to 14,282.72, 21,386.82 and 11,494.16

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Solution

The fourth proportional to 14,282.72, 21,386.82 and 11,494.16 is: 17,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.72 : 21,386.82 = 11,494.16 : x
  2. Step 2: Convert to fraction form
    14,282.72/21,386.82 = 11,494.16/x
  3. Step 3: Cross multiply
    14,282.72x = 21,386.82 × 11,494.16
  4. Step 4: Simplify right side
    14,282.72x = 245,823,530.97
  5. Step 5: Solve for x
    x = 245,823,530.97/14,282.72
  6. Step 6: Final answer
    x = 17,211.25

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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.