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Finding the Fourth Proportional to 21,188.89, 31,783.22 and 5,178.23

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Solution

The fourth proportional to 21,188.89, 31,783.22 and 5,178.23 is: 7,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.89 : 31,783.22 = 5,178.23 : x
  2. Step 2: Convert to fraction form
    21,188.89/31,783.22 = 5,178.23/x
  3. Step 3: Cross multiply
    21,188.89x = 31,783.22 × 5,178.23
  4. Step 4: Simplify right side
    21,188.89x = 164,580,823.30
  5. Step 5: Solve for x
    x = 164,580,823.30/21,188.89
  6. Step 6: Final answer
    x = 7,767.32

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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.