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Finding the Fourth Proportional to 15,648.32, 23,446.09 and 7,740.29

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Solution

The fourth proportional to 15,648.32, 23,446.09 and 7,740.29 is: 11,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,648.32 : 23,446.09 = 7,740.29 : x
  2. Step 2: Convert to fraction form
    15,648.32/23,446.09 = 7,740.29/x
  3. Step 3: Cross multiply
    15,648.32x = 23,446.09 × 7,740.29
  4. Step 4: Simplify right side
    15,648.32x = 181,479,604.26
  5. Step 5: Solve for x
    x = 181,479,604.26/15,648.32
  6. Step 6: Final answer
    x = 11,597.38

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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.