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Finding the Fourth Proportional to 21,447.18, 32,148.90 and 13,122

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Solution

The fourth proportional to 21,447.18, 32,148.90 and 13,122 is: 19,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,447.18 : 32,148.90 = 13,122 : x
  2. Step 2: Convert to fraction form
    21,447.18/32,148.90 = 13,122/x
  3. Step 3: Cross multiply
    21,447.18x = 32,148.90 × 13,122
  4. Step 4: Simplify right side
    21,447.18x = 421,857,865.80
  5. Step 5: Solve for x
    x = 421,857,865.80/21,447.18
  6. Step 6: Final answer
    x = 19,669.62

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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.