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Finding the Fourth Proportional to 18,842.50, 25,999.62 and 10,883.20

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Solution

The fourth proportional to 18,842.50, 25,999.62 and 10,883.20 is: 15,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,842.50 : 25,999.62 = 10,883.20 : x
  2. Step 2: Convert to fraction form
    18,842.50/25,999.62 = 10,883.20/x
  3. Step 3: Cross multiply
    18,842.50x = 25,999.62 × 10,883.20
  4. Step 4: Simplify right side
    18,842.50x = 282,959,064.38
  5. Step 5: Solve for x
    x = 282,959,064.38/18,842.50
  6. Step 6: Final answer
    x = 15,017.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.