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Finding the Fourth Proportional to 14,573.71, 20,102.34 and 8,605.02

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Solution

The fourth proportional to 14,573.71, 20,102.34 and 8,605.02 is: 11,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.71 : 20,102.34 = 8,605.02 : x
  2. Step 2: Convert to fraction form
    14,573.71/20,102.34 = 8,605.02/x
  3. Step 3: Cross multiply
    14,573.71x = 20,102.34 × 8,605.02
  4. Step 4: Simplify right side
    14,573.71x = 172,981,037.75
  5. Step 5: Solve for x
    x = 172,981,037.75/14,573.71
  6. Step 6: Final answer
    x = 11,869.39

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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.