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Finding the Fourth Proportional to 19,898.12, 27,456.36 and 11,513

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Solution

The fourth proportional to 19,898.12, 27,456.36 and 11,513 is: 15,886.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,898.12 : 27,456.36 = 11,513 : x
  2. Step 2: Convert to fraction form
    19,898.12/27,456.36 = 11,513/x
  3. Step 3: Cross multiply
    19,898.12x = 27,456.36 × 11,513
  4. Step 4: Simplify right side
    19,898.12x = 316,105,072.68
  5. Step 5: Solve for x
    x = 316,105,072.68/19,898.12
  6. Step 6: Final answer
    x = 15,886.18

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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.