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Finding the Fourth Proportional to 22,471.63, 31,009.03 and 12,908.50

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Solution

The fourth proportional to 22,471.63, 31,009.03 and 12,908.50 is: 17,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.63 : 31,009.03 = 12,908.50 : x
  2. Step 2: Convert to fraction form
    22,471.63/31,009.03 = 12,908.50/x
  3. Step 3: Cross multiply
    22,471.63x = 31,009.03 × 12,908.50
  4. Step 4: Simplify right side
    22,471.63x = 400,279,953.96
  5. Step 5: Solve for x
    x = 400,279,953.96/22,471.63
  6. Step 6: Final answer
    x = 17,812.68

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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.