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Finding the Fourth Proportional to 27,828.90, 41,742.14 and 9,109.80

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Solution

The fourth proportional to 27,828.90, 41,742.14 and 9,109.80 is: 13,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,828.90 : 41,742.14 = 9,109.80 : x
  2. Step 2: Convert to fraction form
    27,828.90/41,742.14 = 9,109.80/x
  3. Step 3: Cross multiply
    27,828.90x = 41,742.14 × 9,109.80
  4. Step 4: Simplify right side
    27,828.90x = 380,262,501.42
  5. Step 5: Solve for x
    x = 380,262,501.42/27,828.90
  6. Step 6: Final answer
    x = 13,664.30

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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.