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Finding the Fourth Proportional to 19,649, 27,118.37 and 12,590.46

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Solution

The fourth proportional to 19,649, 27,118.37 and 12,590.46 is: 17,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649 : 27,118.37 = 12,590.46 : x
  2. Step 2: Convert to fraction form
    19,649/27,118.37 = 12,590.46/x
  3. Step 3: Cross multiply
    19,649x = 27,118.37 × 12,590.46
  4. Step 4: Simplify right side
    19,649x = 341,432,689.80
  5. Step 5: Solve for x
    x = 341,432,689.80/19,649
  6. Step 6: Final answer
    x = 17,376.59

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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.