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Finding the Fourth Proportional to 12,907.08, 19,361.75 and 5,009.40

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Solution

The fourth proportional to 12,907.08, 19,361.75 and 5,009.40 is: 7,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.08 : 19,361.75 = 5,009.40 : x
  2. Step 2: Convert to fraction form
    12,907.08/19,361.75 = 5,009.40/x
  3. Step 3: Cross multiply
    12,907.08x = 19,361.75 × 5,009.40
  4. Step 4: Simplify right side
    12,907.08x = 96,990,725.40
  5. Step 5: Solve for x
    x = 96,990,725.40/12,907.08
  6. Step 6: Final answer
    x = 7,514.54

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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.