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Finding the Fourth Proportional to 16,709.64, 22,997.94 and 14,325

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Solution

The fourth proportional to 16,709.64, 22,997.94 and 14,325 is: 19,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.64 : 22,997.94 = 14,325 : x
  2. Step 2: Convert to fraction form
    16,709.64/22,997.94 = 14,325/x
  3. Step 3: Cross multiply
    16,709.64x = 22,997.94 × 14,325
  4. Step 4: Simplify right side
    16,709.64x = 329,445,490.50
  5. Step 5: Solve for x
    x = 329,445,490.50/16,709.64
  6. Step 6: Final answer
    x = 19,715.89

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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.