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Finding the Fourth Proportional to 12,821.70, 19,232.55 and 11,412.30

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Solution

The fourth proportional to 12,821.70, 19,232.55 and 11,412.30 is: 17,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.70 : 19,232.55 = 11,412.30 : x
  2. Step 2: Convert to fraction form
    12,821.70/19,232.55 = 11,412.30/x
  3. Step 3: Cross multiply
    12,821.70x = 19,232.55 × 11,412.30
  4. Step 4: Simplify right side
    12,821.70x = 219,487,630.37
  5. Step 5: Solve for x
    x = 219,487,630.37/12,821.70
  6. Step 6: Final answer
    x = 17,118.45

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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.