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Finding the Fourth Proportional to 15,780.29, 23,672.84 and 7,464.83

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Solution

The fourth proportional to 15,780.29, 23,672.84 and 7,464.83 is: 11,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780.29 : 23,672.84 = 7,464.83 : x
  2. Step 2: Convert to fraction form
    15,780.29/23,672.84 = 7,464.83/x
  3. Step 3: Cross multiply
    15,780.29x = 23,672.84 × 7,464.83
  4. Step 4: Simplify right side
    15,780.29x = 176,713,570.53
  5. Step 5: Solve for x
    x = 176,713,570.53/15,780.29
  6. Step 6: Final answer
    x = 11,198.38

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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.