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Finding the Fourth Proportional to 20,873.50, 31,312.18 and 7,549.82

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Solution

The fourth proportional to 20,873.50, 31,312.18 and 7,549.82 is: 11,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.50 : 31,312.18 = 7,549.82 : x
  2. Step 2: Convert to fraction form
    20,873.50/31,312.18 = 7,549.82/x
  3. Step 3: Cross multiply
    20,873.50x = 31,312.18 × 7,549.82
  4. Step 4: Simplify right side
    20,873.50x = 236,401,322.81
  5. Step 5: Solve for x
    x = 236,401,322.81/20,873.50
  6. Step 6: Final answer
    x = 11,325.43

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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.