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Finding the Fourth Proportional to 20,697.94, 28,563.16 and 11,266.50

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Solution

The fourth proportional to 20,697.94, 28,563.16 and 11,266.50 is: 15,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.94 : 28,563.16 = 11,266.50 : x
  2. Step 2: Convert to fraction form
    20,697.94/28,563.16 = 11,266.50/x
  3. Step 3: Cross multiply
    20,697.94x = 28,563.16 × 11,266.50
  4. Step 4: Simplify right side
    20,697.94x = 321,806,813.97
  5. Step 5: Solve for x
    x = 321,806,813.97/20,697.94
  6. Step 6: Final answer
    x = 15,547.77

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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.