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Finding the Fourth Proportional to 20,941.29, 31,410.06 and 6,901.20

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Solution

The fourth proportional to 20,941.29, 31,410.06 and 6,901.20 is: 10,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,941.29 : 31,410.06 = 6,901.20 : x
  2. Step 2: Convert to fraction form
    20,941.29/31,410.06 = 6,901.20/x
  3. Step 3: Cross multiply
    20,941.29x = 31,410.06 × 6,901.20
  4. Step 4: Simplify right side
    20,941.29x = 216,767,106.07
  5. Step 5: Solve for x
    x = 216,767,106.07/20,941.29
  6. Step 6: Final answer
    x = 10,351.18

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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.