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Finding the Fourth Proportional to 16,730.94, 23,098.70 and 10,451.82

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Solution

The fourth proportional to 16,730.94, 23,098.70 and 10,451.82 is: 14,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730.94 : 23,098.70 = 10,451.82 : x
  2. Step 2: Convert to fraction form
    16,730.94/23,098.70 = 10,451.82/x
  3. Step 3: Cross multiply
    16,730.94x = 23,098.70 × 10,451.82
  4. Step 4: Simplify right side
    16,730.94x = 241,423,454.63
  5. Step 5: Solve for x
    x = 241,423,454.63/16,730.94
  6. Step 6: Final answer
    x = 14,429.76

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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.