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Finding the Fourth Proportional to 14,516.34, 21,769.28 and 5,026.08

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Solution

The fourth proportional to 14,516.34, 21,769.28 and 5,026.08 is: 7,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516.34 : 21,769.28 = 5,026.08 : x
  2. Step 2: Convert to fraction form
    14,516.34/21,769.28 = 5,026.08/x
  3. Step 3: Cross multiply
    14,516.34x = 21,769.28 × 5,026.08
  4. Step 4: Simplify right side
    14,516.34x = 109,414,142.82
  5. Step 5: Solve for x
    x = 109,414,142.82/14,516.34
  6. Step 6: Final answer
    x = 7,537.31

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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.