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Finding the Fourth Proportional to 21,242.73, 31,802.52 and 18,991.47

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Solution

The fourth proportional to 21,242.73, 31,802.52 and 18,991.47 is: 28,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,242.73 : 31,802.52 = 18,991.47 : x
  2. Step 2: Convert to fraction form
    21,242.73/31,802.52 = 18,991.47/x
  3. Step 3: Cross multiply
    21,242.73x = 31,802.52 × 18,991.47
  4. Step 4: Simplify right side
    21,242.73x = 603,976,604.50
  5. Step 5: Solve for x
    x = 603,976,604.50/21,242.73
  6. Step 6: Final answer
    x = 28,432.16

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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.