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Finding the Fourth Proportional to 20,210.84, 27,895.26 and 13,583

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Solution

The fourth proportional to 20,210.84, 27,895.26 and 13,583 is: 18,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,210.84 : 27,895.26 = 13,583 : x
  2. Step 2: Convert to fraction form
    20,210.84/27,895.26 = 13,583/x
  3. Step 3: Cross multiply
    20,210.84x = 27,895.26 × 13,583
  4. Step 4: Simplify right side
    20,210.84x = 378,901,316.58
  5. Step 5: Solve for x
    x = 378,901,316.58/20,210.84
  6. Step 6: Final answer
    x = 18,747.43

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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.