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Finding the Fourth Proportional to 14,827.88, 20,462.76 and 8,113.94

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Solution

The fourth proportional to 14,827.88, 20,462.76 and 8,113.94 is: 11,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827.88 : 20,462.76 = 8,113.94 : x
  2. Step 2: Convert to fraction form
    14,827.88/20,462.76 = 8,113.94/x
  3. Step 3: Cross multiply
    14,827.88x = 20,462.76 × 8,113.94
  4. Step 4: Simplify right side
    14,827.88x = 166,033,606.87
  5. Step 5: Solve for x
    x = 166,033,606.87/14,827.88
  6. Step 6: Final answer
    x = 11,197.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.