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Finding the Fourth Proportional to 15,813.59, 23,732.06 and 7,493.58

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Solution

The fourth proportional to 15,813.59, 23,732.06 and 7,493.58 is: 11,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.59 : 23,732.06 = 7,493.58 : x
  2. Step 2: Convert to fraction form
    15,813.59/23,732.06 = 7,493.58/x
  3. Step 3: Cross multiply
    15,813.59x = 23,732.06 × 7,493.58
  4. Step 4: Simplify right side
    15,813.59x = 177,838,052.71
  5. Step 5: Solve for x
    x = 177,838,052.71/15,813.59
  6. Step 6: Final answer
    x = 11,245.90

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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.