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Finding the Fourth Proportional to 20,857.50, 28,783.62 and 11,426.40

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Solution

The fourth proportional to 20,857.50, 28,783.62 and 11,426.40 is: 15,768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.50 : 28,783.62 = 11,426.40 : x
  2. Step 2: Convert to fraction form
    20,857.50/28,783.62 = 11,426.40/x
  3. Step 3: Cross multiply
    20,857.50x = 28,783.62 × 11,426.40
  4. Step 4: Simplify right side
    20,857.50x = 328,893,155.57
  5. Step 5: Solve for x
    x = 328,893,155.57/20,857.50
  6. Step 6: Final answer
    x = 15,768.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.