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Finding the Fourth Proportional to 27,483.84, 41,227.79 and 9,953.82

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Solution

The fourth proportional to 27,483.84, 41,227.79 and 9,953.82 is: 14,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,483.84 : 41,227.79 = 9,953.82 : x
  2. Step 2: Convert to fraction form
    27,483.84/41,227.79 = 9,953.82/x
  3. Step 3: Cross multiply
    27,483.84x = 41,227.79 × 9,953.82
  4. Step 4: Simplify right side
    27,483.84x = 410,373,950.89
  5. Step 5: Solve for x
    x = 410,373,950.89/27,483.84
  6. Step 6: Final answer
    x = 14,931.46

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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.