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Finding the Fourth Proportional to 15,645.88, 23,469.14 and 5,780.08

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Solution

The fourth proportional to 15,645.88, 23,469.14 and 5,780.08 is: 8,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645.88 : 23,469.14 = 5,780.08 : x
  2. Step 2: Convert to fraction form
    15,645.88/23,469.14 = 5,780.08/x
  3. Step 3: Cross multiply
    15,645.88x = 23,469.14 × 5,780.08
  4. Step 4: Simplify right side
    15,645.88x = 135,653,506.73
  5. Step 5: Solve for x
    x = 135,653,506.73/15,645.88
  6. Step 6: Final answer
    x = 8,670.24

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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.