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Finding the Fourth Proportional to 20,157.84, 27,810.44 and 12,197.16

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Solution

The fourth proportional to 20,157.84, 27,810.44 and 12,197.16 is: 16,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.84 : 27,810.44 = 12,197.16 : x
  2. Step 2: Convert to fraction form
    20,157.84/27,810.44 = 12,197.16/x
  3. Step 3: Cross multiply
    20,157.84x = 27,810.44 × 12,197.16
  4. Step 4: Simplify right side
    20,157.84x = 339,208,386.35
  5. Step 5: Solve for x
    x = 339,208,386.35/20,157.84
  6. Step 6: Final answer
    x = 16,827.62

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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.