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Finding the Fourth Proportional to 13,887.76, 20,826.70 and 4,025

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Solution

The fourth proportional to 13,887.76, 20,826.70 and 4,025 is: 6,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.76 : 20,826.70 = 4,025 : x
  2. Step 2: Convert to fraction form
    13,887.76/20,826.70 = 4,025/x
  3. Step 3: Cross multiply
    13,887.76x = 20,826.70 × 4,025
  4. Step 4: Simplify right side
    13,887.76x = 83,827,467.50
  5. Step 5: Solve for x
    x = 83,827,467.50/13,887.76
  6. Step 6: Final answer
    x = 6,036.07

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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.