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Finding the Fourth Proportional to 12,842.40, 19,260.90 and 5,447.10

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Solution

The fourth proportional to 12,842.40, 19,260.90 and 5,447.10 is: 8,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.40 : 19,260.90 = 5,447.10 : x
  2. Step 2: Convert to fraction form
    12,842.40/19,260.90 = 5,447.10/x
  3. Step 3: Cross multiply
    12,842.40x = 19,260.90 × 5,447.10
  4. Step 4: Simplify right side
    12,842.40x = 104,916,048.39
  5. Step 5: Solve for x
    x = 104,916,048.39/12,842.40
  6. Step 6: Final answer
    x = 8,169.50

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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.