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Finding the Fourth Proportional to 16,730.16, 23,067.43 and 14,457.44

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Solution

The fourth proportional to 16,730.16, 23,067.43 and 14,457.44 is: 19,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730.16 : 23,067.43 = 14,457.44 : x
  2. Step 2: Convert to fraction form
    16,730.16/23,067.43 = 14,457.44/x
  3. Step 3: Cross multiply
    16,730.16x = 23,067.43 × 14,457.44
  4. Step 4: Simplify right side
    16,730.16x = 333,495,985.18
  5. Step 5: Solve for x
    x = 333,495,985.18/16,730.16
  6. Step 6: Final answer
    x = 19,933.82

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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.