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Finding the Fourth Proportional to 12,784.26, 19,176.40 and 4,019.40

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Solution

The fourth proportional to 12,784.26, 19,176.40 and 4,019.40 is: 6,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.26 : 19,176.40 = 4,019.40 : x
  2. Step 2: Convert to fraction form
    12,784.26/19,176.40 = 4,019.40/x
  3. Step 3: Cross multiply
    12,784.26x = 19,176.40 × 4,019.40
  4. Step 4: Simplify right side
    12,784.26x = 77,077,622.16
  5. Step 5: Solve for x
    x = 77,077,622.16/12,784.26
  6. Step 6: Final answer
    x = 6,029.10

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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.