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Finding the Fourth Proportional to 12,874.20, 17,752.35 and 11,180.67

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Solution

The fourth proportional to 12,874.20, 17,752.35 and 11,180.67 is: 15,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.20 : 17,752.35 = 11,180.67 : x
  2. Step 2: Convert to fraction form
    12,874.20/17,752.35 = 11,180.67/x
  3. Step 3: Cross multiply
    12,874.20x = 17,752.35 × 11,180.67
  4. Step 4: Simplify right side
    12,874.20x = 198,483,167.07
  5. Step 5: Solve for x
    x = 198,483,167.07/12,874.20
  6. Step 6: Final answer
    x = 15,417.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.