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Finding the Fourth Proportional to 21,438.88, 32,154.96 and 13,116

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Solution

The fourth proportional to 21,438.88, 32,154.96 and 13,116 is: 19,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,438.88 : 32,154.96 = 13,116 : x
  2. Step 2: Convert to fraction form
    21,438.88/32,154.96 = 13,116/x
  3. Step 3: Cross multiply
    21,438.88x = 32,154.96 × 13,116
  4. Step 4: Simplify right side
    21,438.88x = 421,744,455.36
  5. Step 5: Solve for x
    x = 421,744,455.36/21,438.88
  6. Step 6: Final answer
    x = 19,671.94

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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.