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Finding the Fourth Proportional to 14,270.64, 19,694.16 and 7,982.52

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Solution

The fourth proportional to 14,270.64, 19,694.16 and 7,982.52 is: 11,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270.64 : 19,694.16 = 7,982.52 : x
  2. Step 2: Convert to fraction form
    14,270.64/19,694.16 = 7,982.52/x
  3. Step 3: Cross multiply
    14,270.64x = 19,694.16 × 7,982.52
  4. Step 4: Simplify right side
    14,270.64x = 157,209,026.08
  5. Step 5: Solve for x
    x = 157,209,026.08/14,270.64
  6. Step 6: Final answer
    x = 11,016.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.