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Finding the Fourth Proportional to 21,014.01, 31,520.12 and 5,218.67

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Solution

The fourth proportional to 21,014.01, 31,520.12 and 5,218.67 is: 7,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,014.01 : 31,520.12 = 5,218.67 : x
  2. Step 2: Convert to fraction form
    21,014.01/31,520.12 = 5,218.67/x
  3. Step 3: Cross multiply
    21,014.01x = 31,520.12 × 5,218.67
  4. Step 4: Simplify right side
    21,014.01x = 164,492,920.95
  5. Step 5: Solve for x
    x = 164,492,920.95/21,014.01
  6. Step 6: Final answer
    x = 7,827.77

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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.