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Finding the Fourth Proportional to 15,753.75, 23,606.82 and 9,506.82

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Solution

The fourth proportional to 15,753.75, 23,606.82 and 9,506.82 is: 14,245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,753.75 : 23,606.82 = 9,506.82 : x
  2. Step 2: Convert to fraction form
    15,753.75/23,606.82 = 9,506.82/x
  3. Step 3: Cross multiply
    15,753.75x = 23,606.82 × 9,506.82
  4. Step 4: Simplify right side
    15,753.75x = 224,425,788.51
  5. Step 5: Solve for x
    x = 224,425,788.51/15,753.75
  6. Step 6: Final answer
    x = 14,245.86

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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.