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Finding the Fourth Proportional to 12,432.95, 18,647.53 and 4,113.30

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Solution

The fourth proportional to 12,432.95, 18,647.53 and 4,113.30 is: 6,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432.95 : 18,647.53 = 4,113.30 : x
  2. Step 2: Convert to fraction form
    12,432.95/18,647.53 = 4,113.30/x
  3. Step 3: Cross multiply
    12,432.95x = 18,647.53 × 4,113.30
  4. Step 4: Simplify right side
    12,432.95x = 76,702,874.87
  5. Step 5: Solve for x
    x = 76,702,874.87/12,432.95
  6. Step 6: Final answer
    x = 6,169.32

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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.