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Finding the Fourth Proportional to 27,313.32, 40,969.98 and 9,795.45

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Solution

The fourth proportional to 27,313.32, 40,969.98 and 9,795.45 is: 14,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,313.32 : 40,969.98 = 9,795.45 : x
  2. Step 2: Convert to fraction form
    27,313.32/40,969.98 = 9,795.45/x
  3. Step 3: Cross multiply
    27,313.32x = 40,969.98 × 9,795.45
  4. Step 4: Simplify right side
    27,313.32x = 401,319,517.50
  5. Step 5: Solve for x
    x = 401,319,517.50/27,313.32
  6. Step 6: Final answer
    x = 14,693.18

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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.