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Finding the Fourth Proportional to 22,474.40, 31,020.84 and 13,046

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Solution

The fourth proportional to 22,474.40, 31,020.84 and 13,046 is: 18,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474.40 : 31,020.84 = 13,046 : x
  2. Step 2: Convert to fraction form
    22,474.40/31,020.84 = 13,046/x
  3. Step 3: Cross multiply
    22,474.40x = 31,020.84 × 13,046
  4. Step 4: Simplify right side
    22,474.40x = 404,697,878.64
  5. Step 5: Solve for x
    x = 404,697,878.64/22,474.40
  6. Step 6: Final answer
    x = 18,007.06

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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.