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Finding the Fourth Proportional to 27,316.39, 40,977.76 and 9,541.55

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Solution

The fourth proportional to 27,316.39, 40,977.76 and 9,541.55 is: 14,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,316.39 : 40,977.76 = 9,541.55 : x
  2. Step 2: Convert to fraction form
    27,316.39/40,977.76 = 9,541.55/x
  3. Step 3: Cross multiply
    27,316.39x = 40,977.76 × 9,541.55
  4. Step 4: Simplify right side
    27,316.39x = 390,991,219.63
  5. Step 5: Solve for x
    x = 390,991,219.63/27,316.39
  6. Step 6: Final answer
    x = 14,313.43

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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.