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Finding the Fourth Proportional to 19,677, 27,154.50 and 11,294.28

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Solution

The fourth proportional to 19,677, 27,154.50 and 11,294.28 is: 15,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,677 : 27,154.50 = 11,294.28 : x
  2. Step 2: Convert to fraction form
    19,677/27,154.50 = 11,294.28/x
  3. Step 3: Cross multiply
    19,677x = 27,154.50 × 11,294.28
  4. Step 4: Simplify right side
    19,677x = 306,690,526.26
  5. Step 5: Solve for x
    x = 306,690,526.26/19,677
  6. Step 6: Final answer
    x = 15,586.24

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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.