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Finding the Fourth Proportional to 27,188.16, 40,782.69 and 7,466.60

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Solution

The fourth proportional to 27,188.16, 40,782.69 and 7,466.60 is: 11,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188.16 : 40,782.69 = 7,466.60 : x
  2. Step 2: Convert to fraction form
    27,188.16/40,782.69 = 7,466.60/x
  3. Step 3: Cross multiply
    27,188.16x = 40,782.69 × 7,466.60
  4. Step 4: Simplify right side
    27,188.16x = 304,507,829.24
  5. Step 5: Solve for x
    x = 304,507,829.24/27,188.16
  6. Step 6: Final answer
    x = 11,200.02

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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.