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Finding the Fourth Proportional to 21,438.80, 32,147.40 and 12,676.40

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Solution

The fourth proportional to 21,438.80, 32,147.40 and 12,676.40 is: 19,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,438.80 : 32,147.40 = 12,676.40 : x
  2. Step 2: Convert to fraction form
    21,438.80/32,147.40 = 12,676.40/x
  3. Step 3: Cross multiply
    21,438.80x = 32,147.40 × 12,676.40
  4. Step 4: Simplify right side
    21,438.80x = 407,513,301.36
  5. Step 5: Solve for x
    x = 407,513,301.36/21,438.80
  6. Step 6: Final answer
    x = 19,008.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.