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Finding the Fourth Proportional to 19,841.76, 27,384.48 and 11,884.32

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Solution

The fourth proportional to 19,841.76, 27,384.48 and 11,884.32 is: 16,402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841.76 : 27,384.48 = 11,884.32 : x
  2. Step 2: Convert to fraction form
    19,841.76/27,384.48 = 11,884.32/x
  3. Step 3: Cross multiply
    19,841.76x = 27,384.48 × 11,884.32
  4. Step 4: Simplify right side
    19,841.76x = 325,445,923.35
  5. Step 5: Solve for x
    x = 325,445,923.35/19,841.76
  6. Step 6: Final answer
    x = 16,402.07

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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.