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Finding the Fourth Proportional to 27,178.47, 40,765.88 and 7,455.38

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Solution

The fourth proportional to 27,178.47, 40,765.88 and 7,455.38 is: 11,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.47 : 40,765.88 = 7,455.38 : x
  2. Step 2: Convert to fraction form
    27,178.47/40,765.88 = 7,455.38/x
  3. Step 3: Cross multiply
    27,178.47x = 40,765.88 × 7,455.38
  4. Step 4: Simplify right side
    27,178.47x = 303,924,941.24
  5. Step 5: Solve for x
    x = 303,924,941.24/27,178.47
  6. Step 6: Final answer
    x = 11,182.56

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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.