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Finding the Fourth Proportional to 22,840.72, 31,507.05 and 13,407.46

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Solution

The fourth proportional to 22,840.72, 31,507.05 and 13,407.46 is: 18,494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,840.72 : 31,507.05 = 13,407.46 : x
  2. Step 2: Convert to fraction form
    22,840.72/31,507.05 = 13,407.46/x
  3. Step 3: Cross multiply
    22,840.72x = 31,507.05 × 13,407.46
  4. Step 4: Simplify right side
    22,840.72x = 422,429,512.59
  5. Step 5: Solve for x
    x = 422,429,512.59/22,840.72
  6. Step 6: Final answer
    x = 18,494.58

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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.