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Finding the Fourth Proportional to 20,028, 30,052.72 and 13,006.36

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Solution

The fourth proportional to 20,028, 30,052.72 and 13,006.36 is: 19,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,028 : 30,052.72 = 13,006.36 : x
  2. Step 2: Convert to fraction form
    20,028/30,052.72 = 13,006.36/x
  3. Step 3: Cross multiply
    20,028x = 30,052.72 × 13,006.36
  4. Step 4: Simplify right side
    20,028x = 390,876,495.30
  5. Step 5: Solve for x
    x = 390,876,495.30/20,028
  6. Step 6: Final answer
    x = 19,516.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.