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Finding the Fourth Proportional to 23,169, 31,973.22 and 12,558.60

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Solution

The fourth proportional to 23,169, 31,973.22 and 12,558.60 is: 17,330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,169 : 31,973.22 = 12,558.60 : x
  2. Step 2: Convert to fraction form
    23,169/31,973.22 = 12,558.60/x
  3. Step 3: Cross multiply
    23,169x = 31,973.22 × 12,558.60
  4. Step 4: Simplify right side
    23,169x = 401,538,880.69
  5. Step 5: Solve for x
    x = 401,538,880.69/23,169
  6. Step 6: Final answer
    x = 17,330.87

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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.