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Finding the Fourth Proportional to 27,346.40, 41,019.48 and 7,624.96

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Solution

The fourth proportional to 27,346.40, 41,019.48 and 7,624.96 is: 11,437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346.40 : 41,019.48 = 7,624.96 : x
  2. Step 2: Convert to fraction form
    27,346.40/41,019.48 = 7,624.96/x
  3. Step 3: Cross multiply
    27,346.40x = 41,019.48 × 7,624.96
  4. Step 4: Simplify right side
    27,346.40x = 312,771,894.22
  5. Step 5: Solve for x
    x = 312,771,894.22/27,346.40
  6. Step 6: Final answer
    x = 11,437.41

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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.