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Finding the Fourth Proportional to 15,635.57, 23,423.93 and 7,728.83

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Solution

The fourth proportional to 15,635.57, 23,423.93 and 7,728.83 is: 11,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,635.57 : 23,423.93 = 7,728.83 : x
  2. Step 2: Convert to fraction form
    15,635.57/23,423.93 = 7,728.83/x
  3. Step 3: Cross multiply
    15,635.57x = 23,423.93 × 7,728.83
  4. Step 4: Simplify right side
    15,635.57x = 181,039,534.26
  5. Step 5: Solve for x
    x = 181,039,534.26/15,635.57
  6. Step 6: Final answer
    x = 11,578.70

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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.