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Finding the Fourth Proportional to 20,916, 31,373.10 and 5,333.16

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Solution

The fourth proportional to 20,916, 31,373.10 and 5,333.16 is: 7,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916 : 31,373.10 = 5,333.16 : x
  2. Step 2: Convert to fraction form
    20,916/31,373.10 = 5,333.16/x
  3. Step 3: Cross multiply
    20,916x = 31,373.10 × 5,333.16
  4. Step 4: Simplify right side
    20,916x = 167,317,762.00
  5. Step 5: Solve for x
    x = 167,317,762.00/20,916
  6. Step 6: Final answer
    x = 7,999.51

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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.