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Finding the Fourth Proportional to 12,432.61, 18,629.76 and 5,765

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Solution

The fourth proportional to 12,432.61, 18,629.76 and 5,765 is: 8,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432.61 : 18,629.76 = 5,765 : x
  2. Step 2: Convert to fraction form
    12,432.61/18,629.76 = 5,765/x
  3. Step 3: Cross multiply
    12,432.61x = 18,629.76 × 5,765
  4. Step 4: Simplify right side
    12,432.61x = 107,400,566.40
  5. Step 5: Solve for x
    x = 107,400,566.40/12,432.61
  6. Step 6: Final answer
    x = 8,638.62

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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.