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Finding the Fourth Proportional to 22,740, 31,381.44 and 12,804

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Solution

The fourth proportional to 22,740, 31,381.44 and 12,804 is: 17,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,740 : 31,381.44 = 12,804 : x
  2. Step 2: Convert to fraction form
    22,740/31,381.44 = 12,804/x
  3. Step 3: Cross multiply
    22,740x = 31,381.44 × 12,804
  4. Step 4: Simplify right side
    22,740x = 401,807,957.76
  5. Step 5: Solve for x
    x = 401,807,957.76/22,740
  6. Step 6: Final answer
    x = 17,669.66

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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.