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Finding the Fourth Proportional to 19,871.12, 27,419.10 and 11,486

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Solution

The fourth proportional to 19,871.12, 27,419.10 and 11,486 is: 15,848.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871.12 : 27,419.10 = 11,486 : x
  2. Step 2: Convert to fraction form
    19,871.12/27,419.10 = 11,486/x
  3. Step 3: Cross multiply
    19,871.12x = 27,419.10 × 11,486
  4. Step 4: Simplify right side
    19,871.12x = 314,935,782.60
  5. Step 5: Solve for x
    x = 314,935,782.60/19,871.12
  6. Step 6: Final answer
    x = 15,848.92

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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.