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Finding the Fourth Proportional to 27,803.76, 41,709.96 and 9,340.08

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Solution

The fourth proportional to 27,803.76, 41,709.96 and 9,340.08 is: 14,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803.76 : 41,709.96 = 9,340.08 : x
  2. Step 2: Convert to fraction form
    27,803.76/41,709.96 = 9,340.08/x
  3. Step 3: Cross multiply
    27,803.76x = 41,709.96 × 9,340.08
  4. Step 4: Simplify right side
    27,803.76x = 389,574,363.20
  5. Step 5: Solve for x
    x = 389,574,363.20/27,803.76
  6. Step 6: Final answer
    x = 14,011.57

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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.