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Finding the Fourth Proportional to 14,037.08, 21,056.74 and 8,194.28

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Solution

The fourth proportional to 14,037.08, 21,056.74 and 8,194.28 is: 12,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,037.08 : 21,056.74 = 8,194.28 : x
  2. Step 2: Convert to fraction form
    14,037.08/21,056.74 = 8,194.28/x
  3. Step 3: Cross multiply
    14,037.08x = 21,056.74 × 8,194.28
  4. Step 4: Simplify right side
    14,037.08x = 172,544,823.45
  5. Step 5: Solve for x
    x = 172,544,823.45/14,037.08
  6. Step 6: Final answer
    x = 12,292.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.