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Finding the Fourth Proportional to 19,648.95, 27,111.34 and 11,689.62

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Solution

The fourth proportional to 19,648.95, 27,111.34 and 11,689.62 is: 16,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.95 : 27,111.34 = 11,689.62 : x
  2. Step 2: Convert to fraction form
    19,648.95/27,111.34 = 11,689.62/x
  3. Step 3: Cross multiply
    19,648.95x = 27,111.34 × 11,689.62
  4. Step 4: Simplify right side
    19,648.95x = 316,921,175.24
  5. Step 5: Solve for x
    x = 316,921,175.24/19,648.95
  6. Step 6: Final answer
    x = 16,129.17

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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.