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Finding the Fourth Proportional to 12,813.20, 19,219.80 and 9,702.80

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Solution

The fourth proportional to 12,813.20, 19,219.80 and 9,702.80 is: 14,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.20 : 19,219.80 = 9,702.80 : x
  2. Step 2: Convert to fraction form
    12,813.20/19,219.80 = 9,702.80/x
  3. Step 3: Cross multiply
    12,813.20x = 19,219.80 × 9,702.80
  4. Step 4: Simplify right side
    12,813.20x = 186,485,875.44
  5. Step 5: Solve for x
    x = 186,485,875.44/12,813.20
  6. Step 6: Final answer
    x = 14,554.20

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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.