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Finding the Fourth Proportional to 27,313.94, 40,971.02 and 9,544.52

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Solution

The fourth proportional to 27,313.94, 40,971.02 and 9,544.52 is: 14,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,313.94 : 40,971.02 = 9,544.52 : x
  2. Step 2: Convert to fraction form
    27,313.94/40,971.02 = 9,544.52/x
  3. Step 3: Cross multiply
    27,313.94x = 40,971.02 × 9,544.52
  4. Step 4: Simplify right side
    27,313.94x = 391,048,719.81
  5. Step 5: Solve for x
    x = 391,048,719.81/27,313.94
  6. Step 6: Final answer
    x = 14,316.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.