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Finding the Fourth Proportional to 15,740.24, 23,624.96 and 7,954.52

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Solution

The fourth proportional to 15,740.24, 23,624.96 and 7,954.52 is: 11,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740.24 : 23,624.96 = 7,954.52 : x
  2. Step 2: Convert to fraction form
    15,740.24/23,624.96 = 7,954.52/x
  3. Step 3: Cross multiply
    15,740.24x = 23,624.96 × 7,954.52
  4. Step 4: Simplify right side
    15,740.24x = 187,925,216.82
  5. Step 5: Solve for x
    x = 187,925,216.82/15,740.24
  6. Step 6: Final answer
    x = 11,939.16

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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.