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Finding the Fourth Proportional to 19,841.76, 27,385.68 and 11,457.12

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Solution

The fourth proportional to 19,841.76, 27,385.68 and 11,457.12 is: 15,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841.76 : 27,385.68 = 11,457.12 : x
  2. Step 2: Convert to fraction form
    19,841.76/27,385.68 = 11,457.12/x
  3. Step 3: Cross multiply
    19,841.76x = 27,385.68 × 11,457.12
  4. Step 4: Simplify right side
    19,841.76x = 313,761,022.04
  5. Step 5: Solve for x
    x = 313,761,022.04/19,841.76
  6. Step 6: Final answer
    x = 15,813.16

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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.