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Finding the Fourth Proportional to 20,302.83, 30,458.34 and 8,457.50

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Solution

The fourth proportional to 20,302.83, 30,458.34 and 8,457.50 is: 12,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302.83 : 30,458.34 = 8,457.50 : x
  2. Step 2: Convert to fraction form
    20,302.83/30,458.34 = 8,457.50/x
  3. Step 3: Cross multiply
    20,302.83x = 30,458.34 × 8,457.50
  4. Step 4: Simplify right side
    20,302.83x = 257,601,258.26
  5. Step 5: Solve for x
    x = 257,601,258.26/20,302.83
  6. Step 6: Final answer
    x = 12,687.95

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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.