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Finding the Fourth Proportional to 27,767.91, 38,319.78 and 15,830.94

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Solution

The fourth proportional to 27,767.91, 38,319.78 and 15,830.94 is: 21,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.91 : 38,319.78 = 15,830.94 : x
  2. Step 2: Convert to fraction form
    27,767.91/38,319.78 = 15,830.94/x
  3. Step 3: Cross multiply
    27,767.91x = 38,319.78 × 15,830.94
  4. Step 4: Simplify right side
    27,767.91x = 606,638,341.06
  5. Step 5: Solve for x
    x = 606,638,341.06/27,767.91
  6. Step 6: Final answer
    x = 21,846.74

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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.