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Finding the Fourth Proportional to 14,516.68, 19,902.54 and 14,254.24

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Solution

The fourth proportional to 14,516.68, 19,902.54 and 14,254.24 is: 19,542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516.68 : 19,902.54 = 14,254.24 : x
  2. Step 2: Convert to fraction form
    14,516.68/19,902.54 = 14,254.24/x
  3. Step 3: Cross multiply
    14,516.68x = 19,902.54 × 14,254.24
  4. Step 4: Simplify right side
    14,516.68x = 283,695,581.77
  5. Step 5: Solve for x
    x = 283,695,581.77/14,516.68
  6. Step 6: Final answer
    x = 19,542.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.