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Finding the Fourth Proportional to 17,862, 26,787.84 and 6,014.48

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Solution

The fourth proportional to 17,862, 26,787.84 and 6,014.48 is: 9,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,862 : 26,787.84 = 6,014.48 : x
  2. Step 2: Convert to fraction form
    17,862/26,787.84 = 6,014.48/x
  3. Step 3: Cross multiply
    17,862x = 26,787.84 × 6,014.48
  4. Step 4: Simplify right side
    17,862x = 161,114,927.92
  5. Step 5: Solve for x
    x = 161,114,927.92/17,862
  6. Step 6: Final answer
    x = 9,019.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.