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Finding the Fourth Proportional to 14,254.92, 21,385.08 and 6,464.34

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Solution

The fourth proportional to 14,254.92, 21,385.08 and 6,464.34 is: 9,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.92 : 21,385.08 = 6,464.34 : x
  2. Step 2: Convert to fraction form
    14,254.92/21,385.08 = 6,464.34/x
  3. Step 3: Cross multiply
    14,254.92x = 21,385.08 × 6,464.34
  4. Step 4: Simplify right side
    14,254.92x = 138,240,428.05
  5. Step 5: Solve for x
    x = 138,240,428.05/14,254.92
  6. Step 6: Final answer
    x = 9,697.73

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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.