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Finding the Fourth Proportional to 13,514.76, 20,242.80 and 12,786.84

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Solution

The fourth proportional to 13,514.76, 20,242.80 and 12,786.84 is: 19,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.76 : 20,242.80 = 12,786.84 : x
  2. Step 2: Convert to fraction form
    13,514.76/20,242.80 = 12,786.84/x
  3. Step 3: Cross multiply
    13,514.76x = 20,242.80 × 12,786.84
  4. Step 4: Simplify right side
    13,514.76x = 258,841,444.75
  5. Step 5: Solve for x
    x = 258,841,444.75/13,514.76
  6. Step 6: Final answer
    x = 19,152.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.