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Finding the Fourth Proportional to 14,651.84, 20,206.50 and 11,502.56

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Solution

The fourth proportional to 14,651.84, 20,206.50 and 11,502.56 is: 15,863.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.84 : 20,206.50 = 11,502.56 : x
  2. Step 2: Convert to fraction form
    14,651.84/20,206.50 = 11,502.56/x
  3. Step 3: Cross multiply
    14,651.84x = 20,206.50 × 11,502.56
  4. Step 4: Simplify right side
    14,651.84x = 232,426,377.61
  5. Step 5: Solve for x
    x = 232,426,377.61/14,651.84
  6. Step 6: Final answer
    x = 15,863.29

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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.