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Finding the Fourth Proportional to 19,231.60, 28,842 and 9,371.20

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Solution

The fourth proportional to 19,231.60, 28,842 and 9,371.20 is: 14,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,231.60 : 28,842 = 9,371.20 : x
  2. Step 2: Convert to fraction form
    19,231.60/28,842 = 9,371.20/x
  3. Step 3: Cross multiply
    19,231.60x = 28,842 × 9,371.20
  4. Step 4: Simplify right side
    19,231.60x = 270,284,150.40
  5. Step 5: Solve for x
    x = 270,284,150.40/19,231.60
  6. Step 6: Final answer
    x = 14,054.17

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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.