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Finding the Fourth Proportional to 22,817.50, 31,488.18 and 12,881.50

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Solution

The fourth proportional to 22,817.50, 31,488.18 and 12,881.50 is: 17,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.50 : 31,488.18 = 12,881.50 : x
  2. Step 2: Convert to fraction form
    22,817.50/31,488.18 = 12,881.50/x
  3. Step 3: Cross multiply
    22,817.50x = 31,488.18 × 12,881.50
  4. Step 4: Simplify right side
    22,817.50x = 405,614,990.67
  5. Step 5: Solve for x
    x = 405,614,990.67/22,817.50
  6. Step 6: Final answer
    x = 17,776.49

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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.