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Finding the Fourth Proportional to 21,864.93, 30,172.87 and 12,305

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Solution

The fourth proportional to 21,864.93, 30,172.87 and 12,305 is: 16,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864.93 : 30,172.87 = 12,305 : x
  2. Step 2: Convert to fraction form
    21,864.93/30,172.87 = 12,305/x
  3. Step 3: Cross multiply
    21,864.93x = 30,172.87 × 12,305
  4. Step 4: Simplify right side
    21,864.93x = 371,277,165.35
  5. Step 5: Solve for x
    x = 371,277,165.35/21,864.93
  6. Step 6: Final answer
    x = 16,980.49

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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.