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Finding the Fourth Proportional to 21,173.86, 31,762.34 and 7,133.82

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Solution

The fourth proportional to 21,173.86, 31,762.34 and 7,133.82 is: 10,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,173.86 : 31,762.34 = 7,133.82 : x
  2. Step 2: Convert to fraction form
    21,173.86/31,762.34 = 7,133.82/x
  3. Step 3: Cross multiply
    21,173.86x = 31,762.34 × 7,133.82
  4. Step 4: Simplify right side
    21,173.86x = 226,586,816.34
  5. Step 5: Solve for x
    x = 226,586,816.34/21,173.86
  6. Step 6: Final answer
    x = 10,701.25

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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.