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Finding the Fourth Proportional to 19,853.84, 27,397.40 and 11,900.48

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Solution

The fourth proportional to 19,853.84, 27,397.40 and 11,900.48 is: 16,422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.84 : 27,397.40 = 11,900.48 : x
  2. Step 2: Convert to fraction form
    19,853.84/27,397.40 = 11,900.48/x
  3. Step 3: Cross multiply
    19,853.84x = 27,397.40 × 11,900.48
  4. Step 4: Simplify right side
    19,853.84x = 326,042,210.75
  5. Step 5: Solve for x
    x = 326,042,210.75/19,853.84
  6. Step 6: Final answer
    x = 16,422.12

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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.