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Finding the Fourth Proportional to 13,409.48, 20,116.92 and 4,644.20

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Solution

The fourth proportional to 13,409.48, 20,116.92 and 4,644.20 is: 6,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.48 : 20,116.92 = 4,644.20 : x
  2. Step 2: Convert to fraction form
    13,409.48/20,116.92 = 4,644.20/x
  3. Step 3: Cross multiply
    13,409.48x = 20,116.92 × 4,644.20
  4. Step 4: Simplify right side
    13,409.48x = 93,426,999.86
  5. Step 5: Solve for x
    x = 93,426,999.86/13,409.48
  6. Step 6: Final answer
    x = 6,967.24

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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.