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Finding the Fourth Proportional to 24,249, 33,466.74 and 13,638.60

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Solution

The fourth proportional to 24,249, 33,466.74 and 13,638.60 is: 18,823.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,249 : 33,466.74 = 13,638.60 : x
  2. Step 2: Convert to fraction form
    24,249/33,466.74 = 13,638.60/x
  3. Step 3: Cross multiply
    24,249x = 33,466.74 × 13,638.60
  4. Step 4: Simplify right side
    24,249x = 456,439,480.16
  5. Step 5: Solve for x
    x = 456,439,480.16/24,249
  6. Step 6: Final answer
    x = 18,823.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.