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Finding the Fourth Proportional to 21,438.57, 29,575.36 and 13,887.42

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Solution

The fourth proportional to 21,438.57, 29,575.36 and 13,887.42 is: 19,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,438.57 : 29,575.36 = 13,887.42 : x
  2. Step 2: Convert to fraction form
    21,438.57/29,575.36 = 13,887.42/x
  3. Step 3: Cross multiply
    21,438.57x = 29,575.36 × 13,887.42
  4. Step 4: Simplify right side
    21,438.57x = 410,725,445.97
  5. Step 5: Solve for x
    x = 410,725,445.97/21,438.57
  6. Step 6: Final answer
    x = 19,158.25

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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.