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Finding the Fourth Proportional to 24,116.76, 33,280.74 and 13,506.30

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Solution

The fourth proportional to 24,116.76, 33,280.74 and 13,506.30 is: 18,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,116.76 : 33,280.74 = 13,506.30 : x
  2. Step 2: Convert to fraction form
    24,116.76/33,280.74 = 13,506.30/x
  3. Step 3: Cross multiply
    24,116.76x = 33,280.74 × 13,506.30
  4. Step 4: Simplify right side
    24,116.76x = 449,499,658.66
  5. Step 5: Solve for x
    x = 449,499,658.66/24,116.76
  6. Step 6: Final answer
    x = 18,638.48

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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.