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Finding the Fourth Proportional to 12,809.40, 19,214.10 and 11,448.60

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Solution

The fourth proportional to 12,809.40, 19,214.10 and 11,448.60 is: 17,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.40 : 19,214.10 = 11,448.60 : x
  2. Step 2: Convert to fraction form
    12,809.40/19,214.10 = 11,448.60/x
  3. Step 3: Cross multiply
    12,809.40x = 19,214.10 × 11,448.60
  4. Step 4: Simplify right side
    12,809.40x = 219,974,545.26
  5. Step 5: Solve for x
    x = 219,974,545.26/12,809.40
  6. Step 6: Final answer
    x = 17,172.90

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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.