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Finding the Fourth Proportional to 19,838.64, 27,384.06 and 13,882.74

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Solution

The fourth proportional to 19,838.64, 27,384.06 and 13,882.74 is: 19,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.64 : 27,384.06 = 13,882.74 : x
  2. Step 2: Convert to fraction form
    19,838.64/27,384.06 = 13,882.74/x
  3. Step 3: Cross multiply
    19,838.64x = 27,384.06 × 13,882.74
  4. Step 4: Simplify right side
    19,838.64x = 380,165,785.12
  5. Step 5: Solve for x
    x = 380,165,785.12/19,838.64
  6. Step 6: Final answer
    x = 19,162.90

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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.