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Finding the Fourth Proportional to 14,271.13, 19,694.22 and 7,983.51

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Solution

The fourth proportional to 14,271.13, 19,694.22 and 7,983.51 is: 11,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.13 : 19,694.22 = 7,983.51 : x
  2. Step 2: Convert to fraction form
    14,271.13/19,694.22 = 7,983.51/x
  3. Step 3: Cross multiply
    14,271.13x = 19,694.22 × 7,983.51
  4. Step 4: Simplify right side
    14,271.13x = 157,228,962.39
  5. Step 5: Solve for x
    x = 157,228,962.39/14,271.13
  6. Step 6: Final answer
    x = 11,017.27

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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.