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Finding the Fourth Proportional to 15,409.29, 23,129.88 and 9,490.44

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Solution

The fourth proportional to 15,409.29, 23,129.88 and 9,490.44 is: 14,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409.29 : 23,129.88 = 9,490.44 : x
  2. Step 2: Convert to fraction form
    15,409.29/23,129.88 = 9,490.44/x
  3. Step 3: Cross multiply
    15,409.29x = 23,129.88 × 9,490.44
  4. Step 4: Simplify right side
    15,409.29x = 219,512,738.35
  5. Step 5: Solve for x
    x = 219,512,738.35/15,409.29
  6. Step 6: Final answer
    x = 14,245.48

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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.