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Finding the Fourth Proportional to 14,410.30, 21,606.80 and 5,634.76

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Solution

The fourth proportional to 14,410.30, 21,606.80 and 5,634.76 is: 8,448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.30 : 21,606.80 = 5,634.76 : x
  2. Step 2: Convert to fraction form
    14,410.30/21,606.80 = 5,634.76/x
  3. Step 3: Cross multiply
    14,410.30x = 21,606.80 × 5,634.76
  4. Step 4: Simplify right side
    14,410.30x = 121,749,132.37
  5. Step 5: Solve for x
    x = 121,749,132.37/14,410.30
  6. Step 6: Final answer
    x = 8,448.76

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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.