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Finding the Fourth Proportional to 17,859.72, 26,777.76 and 7,985.40

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Solution

The fourth proportional to 17,859.72, 26,777.76 and 7,985.40 is: 11,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,859.72 : 26,777.76 = 7,985.40 : x
  2. Step 2: Convert to fraction form
    17,859.72/26,777.76 = 7,985.40/x
  3. Step 3: Cross multiply
    17,859.72x = 26,777.76 × 7,985.40
  4. Step 4: Simplify right side
    17,859.72x = 213,831,124.70
  5. Step 5: Solve for x
    x = 213,831,124.70/17,859.72
  6. Step 6: Final answer
    x = 11,972.82

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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.