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Finding the Fourth Proportional to 20,803.65, 31,213.26 and 10,802.15

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Solution

The fourth proportional to 20,803.65, 31,213.26 and 10,802.15 is: 16,207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.65 : 31,213.26 = 10,802.15 : x
  2. Step 2: Convert to fraction form
    20,803.65/31,213.26 = 10,802.15/x
  3. Step 3: Cross multiply
    20,803.65x = 31,213.26 × 10,802.15
  4. Step 4: Simplify right side
    20,803.65x = 337,170,316.51
  5. Step 5: Solve for x
    x = 337,170,316.51/20,803.65
  6. Step 6: Final answer
    x = 16,207.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.