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Finding the Fourth Proportional to 22,991.54, 31,725.05 and 12,919.50

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Solution

The fourth proportional to 22,991.54, 31,725.05 and 12,919.50 is: 17,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991.54 : 31,725.05 = 12,919.50 : x
  2. Step 2: Convert to fraction form
    22,991.54/31,725.05 = 12,919.50/x
  3. Step 3: Cross multiply
    22,991.54x = 31,725.05 × 12,919.50
  4. Step 4: Simplify right side
    22,991.54x = 409,871,624.85
  5. Step 5: Solve for x
    x = 409,871,624.85/22,991.54
  6. Step 6: Final answer
    x = 17,827.06

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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.