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Finding the Fourth Proportional to 21,438, 29,597.40 and 13,998.96

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Solution

The fourth proportional to 21,438, 29,597.40 and 13,998.96 is: 19,327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,438 : 29,597.40 = 13,998.96 : x
  2. Step 2: Convert to fraction form
    21,438/29,597.40 = 13,998.96/x
  3. Step 3: Cross multiply
    21,438x = 29,597.40 × 13,998.96
  4. Step 4: Simplify right side
    21,438x = 414,332,818.70
  5. Step 5: Solve for x
    x = 414,332,818.70/21,438
  6. Step 6: Final answer
    x = 19,327.03

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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.