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Finding the Fourth Proportional to 20,546.87, 30,802.47 and 10,002.23

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Solution

The fourth proportional to 20,546.87, 30,802.47 and 10,002.23 is: 14,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.87 : 30,802.47 = 10,002.23 : x
  2. Step 2: Convert to fraction form
    20,546.87/30,802.47 = 10,002.23/x
  3. Step 3: Cross multiply
    20,546.87x = 30,802.47 × 10,002.23
  4. Step 4: Simplify right side
    20,546.87x = 308,093,389.51
  5. Step 5: Solve for x
    x = 308,093,389.51/20,546.87
  6. Step 6: Final answer
    x = 14,994.66

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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.