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Finding the Fourth Proportional to 27,572.70, 41,376.06 and 12,778.86

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Solution

The fourth proportional to 27,572.70, 41,376.06 and 12,778.86 is: 19,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,572.70 : 41,376.06 = 12,778.86 : x
  2. Step 2: Convert to fraction form
    27,572.70/41,376.06 = 12,778.86/x
  3. Step 3: Cross multiply
    27,572.70x = 41,376.06 × 12,778.86
  4. Step 4: Simplify right side
    27,572.70x = 528,738,878.09
  5. Step 5: Solve for x
    x = 528,738,878.09/27,572.70
  6. Step 6: Final answer
    x = 19,176.17

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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.