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Finding the Fourth Proportional to 21,402.89, 29,564.20 and 16,428.57

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Solution

The fourth proportional to 21,402.89, 29,564.20 and 16,428.57 is: 22,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.89 : 29,564.20 = 16,428.57 : x
  2. Step 2: Convert to fraction form
    21,402.89/29,564.20 = 16,428.57/x
  3. Step 3: Cross multiply
    21,402.89x = 29,564.20 × 16,428.57
  4. Step 4: Simplify right side
    21,402.89x = 485,697,644.18
  5. Step 5: Solve for x
    x = 485,697,644.18/21,402.89
  6. Step 6: Final answer
    x = 22,693.09

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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.