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Finding the Fourth Proportional to 27,313.66, 40,983.90 and 9,784.90

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Solution

The fourth proportional to 27,313.66, 40,983.90 and 9,784.90 is: 14,682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,313.66 : 40,983.90 = 9,784.90 : x
  2. Step 2: Convert to fraction form
    27,313.66/40,983.90 = 9,784.90/x
  3. Step 3: Cross multiply
    27,313.66x = 40,983.90 × 9,784.90
  4. Step 4: Simplify right side
    27,313.66x = 401,023,363.11
  5. Step 5: Solve for x
    x = 401,023,363.11/27,313.66
  6. Step 6: Final answer
    x = 14,682.15

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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.