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Finding the Fourth Proportional to 13,685.84, 20,514.56 and 6,655.44

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Solution

The fourth proportional to 13,685.84, 20,514.56 and 6,655.44 is: 9,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.84 : 20,514.56 = 6,655.44 : x
  2. Step 2: Convert to fraction form
    13,685.84/20,514.56 = 6,655.44/x
  3. Step 3: Cross multiply
    13,685.84x = 20,514.56 × 6,655.44
  4. Step 4: Simplify right side
    13,685.84x = 136,533,423.21
  5. Step 5: Solve for x
    x = 136,533,423.21/13,685.84
  6. Step 6: Final answer
    x = 9,976.25

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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.