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Finding the Fourth Proportional to 12,602.34, 18,903.54 and 4,282.02

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Solution

The fourth proportional to 12,602.34, 18,903.54 and 4,282.02 is: 6,423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.34 : 18,903.54 = 4,282.02 : x
  2. Step 2: Convert to fraction form
    12,602.34/18,903.54 = 4,282.02/x
  3. Step 3: Cross multiply
    12,602.34x = 18,903.54 × 4,282.02
  4. Step 4: Simplify right side
    12,602.34x = 80,945,336.35
  5. Step 5: Solve for x
    x = 80,945,336.35/12,602.34
  6. Step 6: Final answer
    x = 6,423.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.