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Finding the Fourth Proportional to 15,697.89, 23,509.92 and 7,359.95

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Solution

The fourth proportional to 15,697.89, 23,509.92 and 7,359.95 is: 11,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.89 : 23,509.92 = 7,359.95 : x
  2. Step 2: Convert to fraction form
    15,697.89/23,509.92 = 7,359.95/x
  3. Step 3: Cross multiply
    15,697.89x = 23,509.92 × 7,359.95
  4. Step 4: Simplify right side
    15,697.89x = 173,031,718.15
  5. Step 5: Solve for x
    x = 173,031,718.15/15,697.89
  6. Step 6: Final answer
    x = 11,022.61

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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.