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Finding the Fourth Proportional to 12,809.70, 19,214.55 and 11,400.30

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Solution

The fourth proportional to 12,809.70, 19,214.55 and 11,400.30 is: 17,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.70 : 19,214.55 = 11,400.30 : x
  2. Step 2: Convert to fraction form
    12,809.70/19,214.55 = 11,400.30/x
  3. Step 3: Cross multiply
    12,809.70x = 19,214.55 × 11,400.30
  4. Step 4: Simplify right side
    12,809.70x = 219,051,634.37
  5. Step 5: Solve for x
    x = 219,051,634.37/12,809.70
  6. Step 6: Final answer
    x = 17,100.45

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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.