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Finding the Fourth Proportional to 12,302.83, 18,442.89 and 4,905.50

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Solution

The fourth proportional to 12,302.83, 18,442.89 and 4,905.50 is: 7,353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.83 : 18,442.89 = 4,905.50 : x
  2. Step 2: Convert to fraction form
    12,302.83/18,442.89 = 4,905.50/x
  3. Step 3: Cross multiply
    12,302.83x = 18,442.89 × 4,905.50
  4. Step 4: Simplify right side
    12,302.83x = 90,471,596.90
  5. Step 5: Solve for x
    x = 90,471,596.90/12,302.83
  6. Step 6: Final answer
    x = 7,353.72

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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.