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Finding the Fourth Proportional to 21,154.85, 31,733.87 and 7,114.92

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Solution

The fourth proportional to 21,154.85, 31,733.87 and 7,114.92 is: 10,672.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.85 : 31,733.87 = 7,114.92 : x
  2. Step 2: Convert to fraction form
    21,154.85/31,733.87 = 7,114.92/x
  3. Step 3: Cross multiply
    21,154.85x = 31,733.87 × 7,114.92
  4. Step 4: Simplify right side
    21,154.85x = 225,783,946.34
  5. Step 5: Solve for x
    x = 225,783,946.34/21,154.85
  6. Step 6: Final answer
    x = 10,672.92

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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.