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Finding the Fourth Proportional to 21,035.64, 31,545.72 and 9,346.44

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Solution

The fourth proportional to 21,035.64, 31,545.72 and 9,346.44 is: 14,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,035.64 : 31,545.72 = 9,346.44 : x
  2. Step 2: Convert to fraction form
    21,035.64/31,545.72 = 9,346.44/x
  3. Step 3: Cross multiply
    21,035.64x = 31,545.72 × 9,346.44
  4. Step 4: Simplify right side
    21,035.64x = 294,840,179.24
  5. Step 5: Solve for x
    x = 294,840,179.24/21,035.64
  6. Step 6: Final answer
    x = 14,016.22

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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.