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Finding the Fourth Proportional to 20,983.40, 29,428.60 and 20,983.40

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Solution

The fourth proportional to 20,983.40, 29,428.60 and 20,983.40 is: 29,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,983.40 : 29,428.60 = 20,983.40 : x
  2. Step 2: Convert to fraction form
    20,983.40/29,428.60 = 20,983.40/x
  3. Step 3: Cross multiply
    20,983.40x = 29,428.60 × 20,983.40
  4. Step 4: Simplify right side
    20,983.40x = 617,512,085.24
  5. Step 5: Solve for x
    x = 617,512,085.24/20,983.40
  6. Step 6: Final answer
    x = 29,428.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.