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Finding the Fourth Proportional to 27,758.94, 38,306.91 and 17,000.22

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Solution

The fourth proportional to 27,758.94, 38,306.91 and 17,000.22 is: 23,460.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.94 : 38,306.91 = 17,000.22 : x
  2. Step 2: Convert to fraction form
    27,758.94/38,306.91 = 17,000.22/x
  3. Step 3: Cross multiply
    27,758.94x = 38,306.91 × 17,000.22
  4. Step 4: Simplify right side
    27,758.94x = 651,225,897.52
  5. Step 5: Solve for x
    x = 651,225,897.52/27,758.94
  6. Step 6: Final answer
    x = 23,460.04

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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.