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Finding the Fourth Proportional to 22,405.23, 30,929.72 and 12,971.97

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Solution

The fourth proportional to 22,405.23, 30,929.72 and 12,971.97 is: 17,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.23 : 30,929.72 = 12,971.97 : x
  2. Step 2: Convert to fraction form
    22,405.23/30,929.72 = 12,971.97/x
  3. Step 3: Cross multiply
    22,405.23x = 30,929.72 × 12,971.97
  4. Step 4: Simplify right side
    22,405.23x = 401,219,335.09
  5. Step 5: Solve for x
    x = 401,219,335.09/22,405.23
  6. Step 6: Final answer
    x = 17,907.40

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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.