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Finding the Fourth Proportional to 13,196.80, 19,785.12 and 6,270.40

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Solution

The fourth proportional to 13,196.80, 19,785.12 and 6,270.40 is: 9,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.80 : 19,785.12 = 6,270.40 : x
  2. Step 2: Convert to fraction form
    13,196.80/19,785.12 = 6,270.40/x
  3. Step 3: Cross multiply
    13,196.80x = 19,785.12 × 6,270.40
  4. Step 4: Simplify right side
    13,196.80x = 124,060,616.45
  5. Step 5: Solve for x
    x = 124,060,616.45/13,196.80
  6. Step 6: Final answer
    x = 9,400.81

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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.