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Finding the Fourth Proportional to 16,883.88, 25,322.90 and 4,569

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Solution

The fourth proportional to 16,883.88, 25,322.90 and 4,569 is: 6,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,883.88 : 25,322.90 = 4,569 : x
  2. Step 2: Convert to fraction form
    16,883.88/25,322.90 = 4,569/x
  3. Step 3: Cross multiply
    16,883.88x = 25,322.90 × 4,569
  4. Step 4: Simplify right side
    16,883.88x = 115,700,330.10
  5. Step 5: Solve for x
    x = 115,700,330.10/16,883.88
  6. Step 6: Final answer
    x = 6,852.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.