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Finding the Fourth Proportional to 20,206.64, 27,898.84 and 12,656

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Solution

The fourth proportional to 20,206.64, 27,898.84 and 12,656 is: 17,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.64 : 27,898.84 = 12,656 : x
  2. Step 2: Convert to fraction form
    20,206.64/27,898.84 = 12,656/x
  3. Step 3: Cross multiply
    20,206.64x = 27,898.84 × 12,656
  4. Step 4: Simplify right side
    20,206.64x = 353,087,719.04
  5. Step 5: Solve for x
    x = 353,087,719.04/20,206.64
  6. Step 6: Final answer
    x = 17,473.85

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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.