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Finding the Fourth Proportional to 22,652.93, 31,261.04 and 13,221.50

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Solution

The fourth proportional to 22,652.93, 31,261.04 and 13,221.50 is: 18,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.93 : 31,261.04 = 13,221.50 : x
  2. Step 2: Convert to fraction form
    22,652.93/31,261.04 = 13,221.50/x
  3. Step 3: Cross multiply
    22,652.93x = 31,261.04 × 13,221.50
  4. Step 4: Simplify right side
    22,652.93x = 413,317,667.53
  5. Step 5: Solve for x
    x = 413,317,667.53/22,652.93
  6. Step 6: Final answer
    x = 18,245.66

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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.