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Finding the Fourth Proportional to 14,419.68, 21,629.43 and 4,558.93

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Solution

The fourth proportional to 14,419.68, 21,629.43 and 4,558.93 is: 6,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.68 : 21,629.43 = 4,558.93 : x
  2. Step 2: Convert to fraction form
    14,419.68/21,629.43 = 4,558.93/x
  3. Step 3: Cross multiply
    14,419.68x = 21,629.43 × 4,558.93
  4. Step 4: Simplify right side
    14,419.68x = 98,607,057.31
  5. Step 5: Solve for x
    x = 98,607,057.31/14,419.68
  6. Step 6: Final answer
    x = 6,838.37

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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.