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Finding the Fourth Proportional to 12,980.25, 19,442.84 and 12,525.57

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Solution

The fourth proportional to 12,980.25, 19,442.84 and 12,525.57 is: 18,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.25 : 19,442.84 = 12,525.57 : x
  2. Step 2: Convert to fraction form
    12,980.25/19,442.84 = 12,525.57/x
  3. Step 3: Cross multiply
    12,980.25x = 19,442.84 × 12,525.57
  4. Step 4: Simplify right side
    12,980.25x = 243,532,590.79
  5. Step 5: Solve for x
    x = 243,532,590.79/12,980.25
  6. Step 6: Final answer
    x = 18,761.78

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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.