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Finding the Fourth Proportional to 14,827.91, 20,462.34 and 8,113.45

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Solution

The fourth proportional to 14,827.91, 20,462.34 and 8,113.45 is: 11,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827.91 : 20,462.34 = 8,113.45 : x
  2. Step 2: Convert to fraction form
    14,827.91/20,462.34 = 8,113.45/x
  3. Step 3: Cross multiply
    14,827.91x = 20,462.34 × 8,113.45
  4. Step 4: Simplify right side
    14,827.91x = 166,020,131.91
  5. Step 5: Solve for x
    x = 166,020,131.91/14,827.91
  6. Step 6: Final answer
    x = 11,196.46

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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.