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Finding the Fourth Proportional to 21,231.90, 31,848.58 and 9,545.16

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Solution

The fourth proportional to 21,231.90, 31,848.58 and 9,545.16 is: 14,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,231.90 : 31,848.58 = 9,545.16 : x
  2. Step 2: Convert to fraction form
    21,231.90/31,848.58 = 9,545.16/x
  3. Step 3: Cross multiply
    21,231.90x = 31,848.58 × 9,545.16
  4. Step 4: Simplify right side
    21,231.90x = 303,999,791.87
  5. Step 5: Solve for x
    x = 303,999,791.87/21,231.90
  6. Step 6: Final answer
    x = 14,318.07

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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.