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Finding the Fourth Proportional to 14,758.12, 20,373.64 and 9,729.64

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Solution

The fourth proportional to 14,758.12, 20,373.64 and 9,729.64 is: 13,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,758.12 : 20,373.64 = 9,729.64 : x
  2. Step 2: Convert to fraction form
    14,758.12/20,373.64 = 9,729.64/x
  3. Step 3: Cross multiply
    14,758.12x = 20,373.64 × 9,729.64
  4. Step 4: Simplify right side
    14,758.12x = 198,228,182.69
  5. Step 5: Solve for x
    x = 198,228,182.69/14,758.12
  6. Step 6: Final answer
    x = 13,431.80

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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.