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Finding the Fourth Proportional to 20,678.00, 28,523.84 and 12,714.59

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Solution

The fourth proportional to 20,678.00, 28,523.84 and 12,714.59 is: 17,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,678.00 : 28,523.84 = 12,714.59 : x
  2. Step 2: Convert to fraction form
    20,678.00/28,523.84 = 12,714.59/x
  3. Step 3: Cross multiply
    20,678.00x = 28,523.84 × 12,714.59
  4. Step 4: Simplify right side
    20,678.00x = 362,668,724.63
  5. Step 5: Solve for x
    x = 362,668,724.63/20,678.00
  6. Step 6: Final answer
    x = 17,538.87

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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.