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Finding the Fourth Proportional to 13,204.64, 19,785 and 9,300.80

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Solution

The fourth proportional to 13,204.64, 19,785 and 9,300.80 is: 13,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.64 : 19,785 = 9,300.80 : x
  2. Step 2: Convert to fraction form
    13,204.64/19,785 = 9,300.80/x
  3. Step 3: Cross multiply
    13,204.64x = 19,785 × 9,300.80
  4. Step 4: Simplify right side
    13,204.64x = 184,016,328
  5. Step 5: Solve for x
    x = 184,016,328/13,204.64
  6. Step 6: Final answer
    x = 13,935.73

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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.