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Finding the Fourth Proportional to 14,218.50, 19,620.30 and 9,182.94

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Solution

The fourth proportional to 14,218.50, 19,620.30 and 9,182.94 is: 12,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,218.50 : 19,620.30 = 9,182.94 : x
  2. Step 2: Convert to fraction form
    14,218.50/19,620.30 = 9,182.94/x
  3. Step 3: Cross multiply
    14,218.50x = 19,620.30 × 9,182.94
  4. Step 4: Simplify right side
    14,218.50x = 180,172,037.68
  5. Step 5: Solve for x
    x = 180,172,037.68/14,218.50
  6. Step 6: Final answer
    x = 12,671.66

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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.