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Finding the Fourth Proportional to 21,176.69, 31,752.88 and 8,020.67

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Solution

The fourth proportional to 21,176.69, 31,752.88 and 8,020.67 is: 12,026.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176.69 : 31,752.88 = 8,020.67 : x
  2. Step 2: Convert to fraction form
    21,176.69/31,752.88 = 8,020.67/x
  3. Step 3: Cross multiply
    21,176.69x = 31,752.88 × 8,020.67
  4. Step 4: Simplify right side
    21,176.69x = 254,679,193.21
  5. Step 5: Solve for x
    x = 254,679,193.21/21,176.69
  6. Step 6: Final answer
    x = 12,026.40

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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.