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Finding the Fourth Proportional to 27,416.76, 37,827.36 and 17,209.08

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Solution

The fourth proportional to 27,416.76, 37,827.36 and 17,209.08 is: 23,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416.76 : 37,827.36 = 17,209.08 : x
  2. Step 2: Convert to fraction form
    27,416.76/37,827.36 = 17,209.08/x
  3. Step 3: Cross multiply
    27,416.76x = 37,827.36 × 17,209.08
  4. Step 4: Simplify right side
    27,416.76x = 650,974,064.43
  5. Step 5: Solve for x
    x = 650,974,064.43/27,416.76
  6. Step 6: Final answer
    x = 23,743.65

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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.