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Finding the Fourth Proportional to 20,787.48, 31,193.51 and 7,649.07

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Solution

The fourth proportional to 20,787.48, 31,193.51 and 7,649.07 is: 11,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,787.48 : 31,193.51 = 7,649.07 : x
  2. Step 2: Convert to fraction form
    20,787.48/31,193.51 = 7,649.07/x
  3. Step 3: Cross multiply
    20,787.48x = 31,193.51 × 7,649.07
  4. Step 4: Simplify right side
    20,787.48x = 238,601,341.54
  5. Step 5: Solve for x
    x = 238,601,341.54/20,787.48
  6. Step 6: Final answer
    x = 11,478.13

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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.