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Finding the Fourth Proportional to 27,440.10, 41,148 and 9,910.08

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Solution

The fourth proportional to 27,440.10, 41,148 and 9,910.08 is: 14,860.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,440.10 : 41,148 = 9,910.08 : x
  2. Step 2: Convert to fraction form
    27,440.10/41,148 = 9,910.08/x
  3. Step 3: Cross multiply
    27,440.10x = 41,148 × 9,910.08
  4. Step 4: Simplify right side
    27,440.10x = 407,779,971.84
  5. Step 5: Solve for x
    x = 407,779,971.84/27,440.10
  6. Step 6: Final answer
    x = 14,860.73

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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.