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Finding the Fourth Proportional to 20,983.40, 31,446.30 and 17,095.40

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Solution

The fourth proportional to 20,983.40, 31,446.30 and 17,095.40 is: 25,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,983.40 : 31,446.30 = 17,095.40 : x
  2. Step 2: Convert to fraction form
    20,983.40/31,446.30 = 17,095.40/x
  3. Step 3: Cross multiply
    20,983.40x = 31,446.30 × 17,095.40
  4. Step 4: Simplify right side
    20,983.40x = 537,587,077.02
  5. Step 5: Solve for x
    x = 537,587,077.02/20,983.40
  6. Step 6: Final answer
    x = 25,619.64

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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.