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Finding the Fourth Proportional to 20,727.46, 28,603.88 and 11,296

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Solution

The fourth proportional to 20,727.46, 28,603.88 and 11,296 is: 15,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,727.46 : 28,603.88 = 11,296 : x
  2. Step 2: Convert to fraction form
    20,727.46/28,603.88 = 11,296/x
  3. Step 3: Cross multiply
    20,727.46x = 28,603.88 × 11,296
  4. Step 4: Simplify right side
    20,727.46x = 323,109,428.48
  5. Step 5: Solve for x
    x = 323,109,428.48/20,727.46
  6. Step 6: Final answer
    x = 15,588.47

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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.