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Finding the Fourth Proportional to 27,718.75, 38,253.51 and 15,782.59

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Solution

The fourth proportional to 27,718.75, 38,253.51 and 15,782.59 is: 21,780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,718.75 : 38,253.51 = 15,782.59 : x
  2. Step 2: Convert to fraction form
    27,718.75/38,253.51 = 15,782.59/x
  3. Step 3: Cross multiply
    27,718.75x = 38,253.51 × 15,782.59
  4. Step 4: Simplify right side
    27,718.75x = 603,739,464.39
  5. Step 5: Solve for x
    x = 603,739,464.39/27,718.75
  6. Step 6: Final answer
    x = 21,780.91

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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.