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Finding the Fourth Proportional to 21,423, 29,562.12 and 11,862.84

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Solution

The fourth proportional to 21,423, 29,562.12 and 11,862.84 is: 16,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423 : 29,562.12 = 11,862.84 : x
  2. Step 2: Convert to fraction form
    21,423/29,562.12 = 11,862.84/x
  3. Step 3: Cross multiply
    21,423x = 29,562.12 × 11,862.84
  4. Step 4: Simplify right side
    21,423x = 350,690,699.62
  5. Step 5: Solve for x
    x = 350,690,699.62/21,423
  6. Step 6: Final answer
    x = 16,369.82

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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.