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Finding the Fourth Proportional to 15,802.38, 21,800.49 and 9,086.46

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Solution

The fourth proportional to 15,802.38, 21,800.49 and 9,086.46 is: 12,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.38 : 21,800.49 = 9,086.46 : x
  2. Step 2: Convert to fraction form
    15,802.38/21,800.49 = 9,086.46/x
  3. Step 3: Cross multiply
    15,802.38x = 21,800.49 × 9,086.46
  4. Step 4: Simplify right side
    15,802.38x = 198,089,280.37
  5. Step 5: Solve for x
    x = 198,089,280.37/15,802.38
  6. Step 6: Final answer
    x = 12,535.41

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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.