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Finding the Fourth Proportional to 12,991.40, 19,490.70 and 8,617.40

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Solution

The fourth proportional to 12,991.40, 19,490.70 and 8,617.40 is: 12,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.40 : 19,490.70 = 8,617.40 : x
  2. Step 2: Convert to fraction form
    12,991.40/19,490.70 = 8,617.40/x
  3. Step 3: Cross multiply
    12,991.40x = 19,490.70 × 8,617.40
  4. Step 4: Simplify right side
    12,991.40x = 167,959,158.18
  5. Step 5: Solve for x
    x = 167,959,158.18/12,991.40
  6. Step 6: Final answer
    x = 12,928.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.