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Finding the Fourth Proportional to 21,023, 29,011.94 and 11,591.90

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Solution

The fourth proportional to 21,023, 29,011.94 and 11,591.90 is: 15,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,023 : 29,011.94 = 11,591.90 : x
  2. Step 2: Convert to fraction form
    21,023/29,011.94 = 11,591.90/x
  3. Step 3: Cross multiply
    21,023x = 29,011.94 × 11,591.90
  4. Step 4: Simplify right side
    21,023x = 336,303,507.29
  5. Step 5: Solve for x
    x = 336,303,507.29/21,023
  6. Step 6: Final answer
    x = 15,996.93

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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.