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Finding the Fourth Proportional to 27,738.51, 38,281.80 and 16,411.65

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Solution

The fourth proportional to 27,738.51, 38,281.80 and 16,411.65 is: 22,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738.51 : 38,281.80 = 16,411.65 : x
  2. Step 2: Convert to fraction form
    27,738.51/38,281.80 = 16,411.65/x
  3. Step 3: Cross multiply
    27,738.51x = 38,281.80 × 16,411.65
  4. Step 4: Simplify right side
    27,738.51x = 628,267,502.97
  5. Step 5: Solve for x
    x = 628,267,502.97/27,738.51
  6. Step 6: Final answer
    x = 22,649.65

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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.