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Finding the Fourth Proportional to 19,783.50, 29,648.51 and 8,090.34

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Solution

The fourth proportional to 19,783.50, 29,648.51 and 8,090.34 is: 12,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.50 : 29,648.51 = 8,090.34 : x
  2. Step 2: Convert to fraction form
    19,783.50/29,648.51 = 8,090.34/x
  3. Step 3: Cross multiply
    19,783.50x = 29,648.51 × 8,090.34
  4. Step 4: Simplify right side
    19,783.50x = 239,866,526.39
  5. Step 5: Solve for x
    x = 239,866,526.39/19,783.50
  6. Step 6: Final answer
    x = 12,124.57

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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.