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Finding the Fourth Proportional to 12,894.40, 19,341.60 and 9,974.80

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Solution

The fourth proportional to 12,894.40, 19,341.60 and 9,974.80 is: 14,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.40 : 19,341.60 = 9,974.80 : x
  2. Step 2: Convert to fraction form
    12,894.40/19,341.60 = 9,974.80/x
  3. Step 3: Cross multiply
    12,894.40x = 19,341.60 × 9,974.80
  4. Step 4: Simplify right side
    12,894.40x = 192,928,591.68
  5. Step 5: Solve for x
    x = 192,928,591.68/12,894.40
  6. Step 6: Final answer
    x = 14,962.20

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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.