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Finding the Fourth Proportional to 23,211, 32,030.73 and 13,141.35

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Solution

The fourth proportional to 23,211, 32,030.73 and 13,141.35 is: 18,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,211 : 32,030.73 = 13,141.35 : x
  2. Step 2: Convert to fraction form
    23,211/32,030.73 = 13,141.35/x
  3. Step 3: Cross multiply
    23,211x = 32,030.73 × 13,141.35
  4. Step 4: Simplify right side
    23,211x = 420,927,033.69
  5. Step 5: Solve for x
    x = 420,927,033.69/23,211
  6. Step 6: Final answer
    x = 18,134.81

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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.