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Finding the Fourth Proportional to 21,156.42, 31,738.64 and 8,507.15

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Solution

The fourth proportional to 21,156.42, 31,738.64 and 8,507.15 is: 12,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,156.42 : 31,738.64 = 8,507.15 : x
  2. Step 2: Convert to fraction form
    21,156.42/31,738.64 = 8,507.15/x
  3. Step 3: Cross multiply
    21,156.42x = 31,738.64 × 8,507.15
  4. Step 4: Simplify right side
    21,156.42x = 270,005,378.33
  5. Step 5: Solve for x
    x = 270,005,378.33/21,156.42
  6. Step 6: Final answer
    x = 12,762.34

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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.