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Finding the Fourth Proportional to 16,457.12, 22,710.84 and 9,383.36

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Solution

The fourth proportional to 16,457.12, 22,710.84 and 9,383.36 is: 12,949.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.12 : 22,710.84 = 9,383.36 : x
  2. Step 2: Convert to fraction form
    16,457.12/22,710.84 = 9,383.36/x
  3. Step 3: Cross multiply
    16,457.12x = 22,710.84 × 9,383.36
  4. Step 4: Simplify right side
    16,457.12x = 213,103,987.62
  5. Step 5: Solve for x
    x = 213,103,987.62/16,457.12
  6. Step 6: Final answer
    x = 12,949.05

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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.