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Finding the Fourth Proportional to 16,730.94, 23,088.34 and 9,278.94

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Solution

The fourth proportional to 16,730.94, 23,088.34 and 9,278.94 is: 12,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730.94 : 23,088.34 = 9,278.94 : x
  2. Step 2: Convert to fraction form
    16,730.94/23,088.34 = 9,278.94/x
  3. Step 3: Cross multiply
    16,730.94x = 23,088.34 × 9,278.94
  4. Step 4: Simplify right side
    16,730.94x = 214,235,321.56
  5. Step 5: Solve for x
    x = 214,235,321.56/16,730.94
  6. Step 6: Final answer
    x = 12,804.74

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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.