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Finding the Fourth Proportional to 19,911.36, 27,473.27 and 11,523

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Solution

The fourth proportional to 19,911.36, 27,473.27 and 11,523 is: 15,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,911.36 : 27,473.27 = 11,523 : x
  2. Step 2: Convert to fraction form
    19,911.36/27,473.27 = 11,523/x
  3. Step 3: Cross multiply
    19,911.36x = 27,473.27 × 11,523
  4. Step 4: Simplify right side
    19,911.36x = 316,574,432.60
  5. Step 5: Solve for x
    x = 316,574,432.60/19,911.36
  6. Step 6: Final answer
    x = 15,899.19

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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.