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Finding the Fourth Proportional to 12,775.20, 19,164.60 and 4,009.20

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Solution

The fourth proportional to 12,775.20, 19,164.60 and 4,009.20 is: 6,014.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.20 : 19,164.60 = 4,009.20 : x
  2. Step 2: Convert to fraction form
    12,775.20/19,164.60 = 4,009.20/x
  3. Step 3: Cross multiply
    12,775.20x = 19,164.60 × 4,009.20
  4. Step 4: Simplify right side
    12,775.20x = 76,834,714.32
  5. Step 5: Solve for x
    x = 76,834,714.32/12,775.20
  6. Step 6: Final answer
    x = 6,014.36

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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.