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Finding the Fourth Proportional to 27,322.50, 40,959.02 and 9,788.42

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Solution

The fourth proportional to 27,322.50, 40,959.02 and 9,788.42 is: 14,673.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,322.50 : 40,959.02 = 9,788.42 : x
  2. Step 2: Convert to fraction form
    27,322.50/40,959.02 = 9,788.42/x
  3. Step 3: Cross multiply
    27,322.50x = 40,959.02 × 9,788.42
  4. Step 4: Simplify right side
    27,322.50x = 400,924,090.55
  5. Step 5: Solve for x
    x = 400,924,090.55/27,322.50
  6. Step 6: Final answer
    x = 14,673.77

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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.