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Finding the Fourth Proportional to 27,858, 41,788.92 and 9,133.08

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Solution

The fourth proportional to 27,858, 41,788.92 and 9,133.08 is: 13,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858 : 41,788.92 = 9,133.08 : x
  2. Step 2: Convert to fraction form
    27,858/41,788.92 = 9,133.08/x
  3. Step 3: Cross multiply
    27,858x = 41,788.92 × 9,133.08
  4. Step 4: Simplify right side
    27,858x = 381,661,549.47
  5. Step 5: Solve for x
    x = 381,661,549.47/27,858
  6. Step 6: Final answer
    x = 13,700.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.