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Finding the Fourth Proportional to 12,449.61, 18,669.74 and 4,549.50

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Solution

The fourth proportional to 12,449.61, 18,669.74 and 4,549.50 is: 6,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.61 : 18,669.74 = 4,549.50 : x
  2. Step 2: Convert to fraction form
    12,449.61/18,669.74 = 4,549.50/x
  3. Step 3: Cross multiply
    12,449.61x = 18,669.74 × 4,549.50
  4. Step 4: Simplify right side
    12,449.61x = 84,937,959.38
  5. Step 5: Solve for x
    x = 84,937,959.38/12,449.61
  6. Step 6: Final answer
    x = 6,822.54

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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.