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Finding the Fourth Proportional to 14,057.12, 21,078.32 and 7,029.60

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Solution

The fourth proportional to 14,057.12, 21,078.32 and 7,029.60 is: 10,540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.12 : 21,078.32 = 7,029.60 : x
  2. Step 2: Convert to fraction form
    14,057.12/21,078.32 = 7,029.60/x
  3. Step 3: Cross multiply
    14,057.12x = 21,078.32 × 7,029.60
  4. Step 4: Simplify right side
    14,057.12x = 148,172,158.27
  5. Step 5: Solve for x
    x = 148,172,158.27/14,057.12
  6. Step 6: Final answer
    x = 10,540.72

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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.