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Finding the Fourth Proportional to 12,825.20, 19,237.80 and 12,108.40

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Solution

The fourth proportional to 12,825.20, 19,237.80 and 12,108.40 is: 18,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.20 : 19,237.80 = 12,108.40 : x
  2. Step 2: Convert to fraction form
    12,825.20/19,237.80 = 12,108.40/x
  3. Step 3: Cross multiply
    12,825.20x = 19,237.80 × 12,108.40
  4. Step 4: Simplify right side
    12,825.20x = 232,938,977.52
  5. Step 5: Solve for x
    x = 232,938,977.52/12,825.20
  6. Step 6: Final answer
    x = 18,162.60

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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.