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Finding the Fourth Proportional to 17,202.32, 23,737.84 and 9,647.64

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Solution

The fourth proportional to 17,202.32, 23,737.84 and 9,647.64 is: 13,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.32 : 23,737.84 = 9,647.64 : x
  2. Step 2: Convert to fraction form
    17,202.32/23,737.84 = 9,647.64/x
  3. Step 3: Cross multiply
    17,202.32x = 23,737.84 × 9,647.64
  4. Step 4: Simplify right side
    17,202.32x = 229,014,134.70
  5. Step 5: Solve for x
    x = 229,014,134.70/17,202.32
  6. Step 6: Final answer
    x = 13,312.98

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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.