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Finding the Fourth Proportional to 14,797.35, 20,427.80 and 9,768.87

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Solution

The fourth proportional to 14,797.35, 20,427.80 and 9,768.87 is: 13,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.35 : 20,427.80 = 9,768.87 : x
  2. Step 2: Convert to fraction form
    14,797.35/20,427.80 = 9,768.87/x
  3. Step 3: Cross multiply
    14,797.35x = 20,427.80 × 9,768.87
  4. Step 4: Simplify right side
    14,797.35x = 199,556,473.74
  5. Step 5: Solve for x
    x = 199,556,473.74/14,797.35
  6. Step 6: Final answer
    x = 13,485.96

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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.