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Finding the Fourth Proportional to 14,385.25, 21,546.55 and 6,974.02

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Solution

The fourth proportional to 14,385.25, 21,546.55 and 6,974.02 is: 10,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385.25 : 21,546.55 = 6,974.02 : x
  2. Step 2: Convert to fraction form
    14,385.25/21,546.55 = 6,974.02/x
  3. Step 3: Cross multiply
    14,385.25x = 21,546.55 × 6,974.02
  4. Step 4: Simplify right side
    14,385.25x = 150,266,070.63
  5. Step 5: Solve for x
    x = 150,266,070.63/14,385.25
  6. Step 6: Final answer
    x = 10,445.84

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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.