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Finding the Fourth Proportional to 27,451.43, 41,184 and 12,670.68

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Solution

The fourth proportional to 27,451.43, 41,184 and 12,670.68 is: 19,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,451.43 : 41,184 = 12,670.68 : x
  2. Step 2: Convert to fraction form
    27,451.43/41,184 = 12,670.68/x
  3. Step 3: Cross multiply
    27,451.43x = 41,184 × 12,670.68
  4. Step 4: Simplify right side
    27,451.43x = 521,829,285.12
  5. Step 5: Solve for x
    x = 521,829,285.12/27,451.43
  6. Step 6: Final answer
    x = 19,009.19

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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.