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Finding the Fourth Proportional to 16,844.94, 25,267.50 and 5,158.14

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Solution

The fourth proportional to 16,844.94, 25,267.50 and 5,158.14 is: 7,737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,844.94 : 25,267.50 = 5,158.14 : x
  2. Step 2: Convert to fraction form
    16,844.94/25,267.50 = 5,158.14/x
  3. Step 3: Cross multiply
    16,844.94x = 25,267.50 × 5,158.14
  4. Step 4: Simplify right side
    16,844.94x = 130,333,302.45
  5. Step 5: Solve for x
    x = 130,333,302.45/16,844.94
  6. Step 6: Final answer
    x = 7,737.24

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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.