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Finding the Fourth Proportional to 15,578.32, 23,348.04 and 7,789.36

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Solution

The fourth proportional to 15,578.32, 23,348.04 and 7,789.36 is: 11,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.32 : 23,348.04 = 7,789.36 : x
  2. Step 2: Convert to fraction form
    15,578.32/23,348.04 = 7,789.36/x
  3. Step 3: Cross multiply
    15,578.32x = 23,348.04 × 7,789.36
  4. Step 4: Simplify right side
    15,578.32x = 181,866,288.85
  5. Step 5: Solve for x
    x = 181,866,288.85/15,578.32
  6. Step 6: Final answer
    x = 11,674.32

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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.