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Finding the Fourth Proportional to 15,455.84, 23,182.24 and 7,669.76

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Solution

The fourth proportional to 15,455.84, 23,182.24 and 7,669.76 is: 11,503.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,455.84 : 23,182.24 = 7,669.76 : x
  2. Step 2: Convert to fraction form
    15,455.84/23,182.24 = 7,669.76/x
  3. Step 3: Cross multiply
    15,455.84x = 23,182.24 × 7,669.76
  4. Step 4: Simplify right side
    15,455.84x = 177,802,217.06
  5. Step 5: Solve for x
    x = 177,802,217.06/15,455.84
  6. Step 6: Final answer
    x = 11,503.89

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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.