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Finding the Fourth Proportional to 30,728.96, 42,409.14 and 18,800.23

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Solution

The fourth proportional to 30,728.96, 42,409.14 and 18,800.23 is: 25,946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728.96 : 42,409.14 = 18,800.23 : x
  2. Step 2: Convert to fraction form
    30,728.96/42,409.14 = 18,800.23/x
  3. Step 3: Cross multiply
    30,728.96x = 42,409.14 × 18,800.23
  4. Step 4: Simplify right side
    30,728.96x = 797,301,586.10
  5. Step 5: Solve for x
    x = 797,301,586.10/30,728.96
  6. Step 6: Final answer
    x = 25,946.26

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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.