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Finding the Fourth Proportional to 20,564.30, 28,731.70 and 20,564.30

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Solution

The fourth proportional to 20,564.30, 28,731.70 and 20,564.30 is: 28,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.30 : 28,731.70 = 20,564.30 : x
  2. Step 2: Convert to fraction form
    20,564.30/28,731.70 = 20,564.30/x
  3. Step 3: Cross multiply
    20,564.30x = 28,731.70 × 20,564.30
  4. Step 4: Simplify right side
    20,564.30x = 590,847,298.31
  5. Step 5: Solve for x
    x = 590,847,298.31/20,564.30
  6. Step 6: Final answer
    x = 28,731.70

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