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Finding the Fourth Proportional to 21,185.89, 31,778.81 and 8,038.24

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Solution

The fourth proportional to 21,185.89, 31,778.81 and 8,038.24 is: 12,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,185.89 : 31,778.81 = 8,038.24 : x
  2. Step 2: Convert to fraction form
    21,185.89/31,778.81 = 8,038.24/x
  3. Step 3: Cross multiply
    21,185.89x = 31,778.81 × 8,038.24
  4. Step 4: Simplify right side
    21,185.89x = 255,445,582.06
  5. Step 5: Solve for x
    x = 255,445,582.06/21,185.89
  6. Step 6: Final answer
    x = 12,057.35

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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.