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Finding the Fourth Proportional to 15,665.37, 23,509.72 and 6,305.46

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Solution

The fourth proportional to 15,665.37, 23,509.72 and 6,305.46 is: 9,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.37 : 23,509.72 = 6,305.46 : x
  2. Step 2: Convert to fraction form
    15,665.37/23,509.72 = 6,305.46/x
  3. Step 3: Cross multiply
    15,665.37x = 23,509.72 × 6,305.46
  4. Step 4: Simplify right side
    15,665.37x = 148,239,518.79
  5. Step 5: Solve for x
    x = 148,239,518.79/15,665.37
  6. Step 6: Final answer
    x = 9,462.88

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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.