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Finding the Fourth Proportional to 27,762.76, 41,577.40 and 15,880.52

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Solution

The fourth proportional to 27,762.76, 41,577.40 and 15,880.52 is: 23,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.76 : 41,577.40 = 15,880.52 : x
  2. Step 2: Convert to fraction form
    27,762.76/41,577.40 = 15,880.52/x
  3. Step 3: Cross multiply
    27,762.76x = 41,577.40 × 15,880.52
  4. Step 4: Simplify right side
    27,762.76x = 660,270,732.25
  5. Step 5: Solve for x
    x = 660,270,732.25/27,762.76
  6. Step 6: Final answer
    x = 23,782.60

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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.