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Finding the Fourth Proportional to 20,051.29, 30,058.02 and 6,894.46

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Solution

The fourth proportional to 20,051.29, 30,058.02 and 6,894.46 is: 10,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051.29 : 30,058.02 = 6,894.46 : x
  2. Step 2: Convert to fraction form
    20,051.29/30,058.02 = 6,894.46/x
  3. Step 3: Cross multiply
    20,051.29x = 30,058.02 × 6,894.46
  4. Step 4: Simplify right side
    20,051.29x = 207,233,816.57
  5. Step 5: Solve for x
    x = 207,233,816.57/20,051.29
  6. Step 6: Final answer
    x = 10,335.19

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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.