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Finding the Fourth Proportional to 16,506.72, 24,760.08 and 9,109.80

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Solution

The fourth proportional to 16,506.72, 24,760.08 and 9,109.80 is: 13,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.72 : 24,760.08 = 9,109.80 : x
  2. Step 2: Convert to fraction form
    16,506.72/24,760.08 = 9,109.80/x
  3. Step 3: Cross multiply
    16,506.72x = 24,760.08 × 9,109.80
  4. Step 4: Simplify right side
    16,506.72x = 225,559,376.78
  5. Step 5: Solve for x
    x = 225,559,376.78/16,506.72
  6. Step 6: Final answer
    x = 13,664.70

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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.