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Finding the Fourth Proportional to 12,930.40, 19,363.20 and 9,625.60

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Solution

The fourth proportional to 12,930.40, 19,363.20 and 9,625.60 is: 14,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.40 : 19,363.20 = 9,625.60 : x
  2. Step 2: Convert to fraction form
    12,930.40/19,363.20 = 9,625.60/x
  3. Step 3: Cross multiply
    12,930.40x = 19,363.20 × 9,625.60
  4. Step 4: Simplify right side
    12,930.40x = 186,382,417.92
  5. Step 5: Solve for x
    x = 186,382,417.92/12,930.40
  6. Step 6: Final answer
    x = 14,414.28

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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.