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Finding the Fourth Proportional to 15,825.65, 23,744.84 and 5,967.72

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Solution

The fourth proportional to 15,825.65, 23,744.84 and 5,967.72 is: 8,953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.65 : 23,744.84 = 5,967.72 : x
  2. Step 2: Convert to fraction form
    15,825.65/23,744.84 = 5,967.72/x
  3. Step 3: Cross multiply
    15,825.65x = 23,744.84 × 5,967.72
  4. Step 4: Simplify right side
    15,825.65x = 141,702,526.73
  5. Step 5: Solve for x
    x = 141,702,526.73/15,825.65
  6. Step 6: Final answer
    x = 8,953.98

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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.