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Finding the Fourth Proportional to 27,580.56, 41,364.03 and 12,775.26

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Solution

The fourth proportional to 27,580.56, 41,364.03 and 12,775.26 is: 19,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.56 : 41,364.03 = 12,775.26 : x
  2. Step 2: Convert to fraction form
    27,580.56/41,364.03 = 12,775.26/x
  3. Step 3: Cross multiply
    27,580.56x = 41,364.03 × 12,775.26
  4. Step 4: Simplify right side
    27,580.56x = 528,436,237.90
  5. Step 5: Solve for x
    x = 528,436,237.90/27,580.56
  6. Step 6: Final answer
    x = 19,159.74

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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.