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Finding the Fourth Proportional to 23,659.34, 32,648.82 and 12,903.96

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Solution

The fourth proportional to 23,659.34, 32,648.82 and 12,903.96 is: 17,806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,659.34 : 32,648.82 = 12,903.96 : x
  2. Step 2: Convert to fraction form
    23,659.34/32,648.82 = 12,903.96/x
  3. Step 3: Cross multiply
    23,659.34x = 32,648.82 × 12,903.96
  4. Step 4: Simplify right side
    23,659.34x = 421,299,030.31
  5. Step 5: Solve for x
    x = 421,299,030.31/23,659.34
  6. Step 6: Final answer
    x = 17,806.88

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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.