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Finding the Fourth Proportional to 27,177.72, 40,762.44 and 9,645

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Solution

The fourth proportional to 27,177.72, 40,762.44 and 9,645 is: 14,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,177.72 : 40,762.44 = 9,645 : x
  2. Step 2: Convert to fraction form
    27,177.72/40,762.44 = 9,645/x
  3. Step 3: Cross multiply
    27,177.72x = 40,762.44 × 9,645
  4. Step 4: Simplify right side
    27,177.72x = 393,153,733.80
  5. Step 5: Solve for x
    x = 393,153,733.80/27,177.72
  6. Step 6: Final answer
    x = 14,466.03

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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.