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Finding the Fourth Proportional to 27,416.46, 37,834.80 and 14,841.18

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Solution

The fourth proportional to 27,416.46, 37,834.80 and 14,841.18 is: 20,480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416.46 : 37,834.80 = 14,841.18 : x
  2. Step 2: Convert to fraction form
    27,416.46/37,834.80 = 14,841.18/x
  3. Step 3: Cross multiply
    27,416.46x = 37,834.80 × 14,841.18
  4. Step 4: Simplify right side
    27,416.46x = 561,513,077.06
  5. Step 5: Solve for x
    x = 561,513,077.06/27,416.46
  6. Step 6: Final answer
    x = 20,480.87

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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.