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Finding the Fourth Proportional to 14,728.48, 20,323.92 and 10,016.80

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Solution

The fourth proportional to 14,728.48, 20,323.92 and 10,016.80 is: 13,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,728.48 : 20,323.92 = 10,016.80 : x
  2. Step 2: Convert to fraction form
    14,728.48/20,323.92 = 10,016.80/x
  3. Step 3: Cross multiply
    14,728.48x = 20,323.92 × 10,016.80
  4. Step 4: Simplify right side
    14,728.48x = 203,580,641.86
  5. Step 5: Solve for x
    x = 203,580,641.86/14,728.48
  6. Step 6: Final answer
    x = 13,822.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.