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Finding the Fourth Proportional to 20,209.84, 27,893.88 and 13,582

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Solution

The fourth proportional to 20,209.84, 27,893.88 and 13,582 is: 18,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.84 : 27,893.88 = 13,582 : x
  2. Step 2: Convert to fraction form
    20,209.84/27,893.88 = 13,582/x
  3. Step 3: Cross multiply
    20,209.84x = 27,893.88 × 13,582
  4. Step 4: Simplify right side
    20,209.84x = 378,854,678.16
  5. Step 5: Solve for x
    x = 378,854,678.16/20,209.84
  6. Step 6: Final answer
    x = 18,746.05

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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.