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Finding the Fourth Proportional to 21,783.92, 30,062.16 and 12,225.92

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Solution

The fourth proportional to 21,783.92, 30,062.16 and 12,225.92 is: 16,871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,783.92 : 30,062.16 = 12,225.92 : x
  2. Step 2: Convert to fraction form
    21,783.92/30,062.16 = 12,225.92/x
  3. Step 3: Cross multiply
    21,783.92x = 30,062.16 × 12,225.92
  4. Step 4: Simplify right side
    21,783.92x = 367,537,563.19
  5. Step 5: Solve for x
    x = 367,537,563.19/21,783.92
  6. Step 6: Final answer
    x = 16,871.97

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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.