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Finding the Fourth Proportional to 22,473.40, 31,019.46 and 13,045

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Solution

The fourth proportional to 22,473.40, 31,019.46 and 13,045 is: 18,005.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.40 : 31,019.46 = 13,045 : x
  2. Step 2: Convert to fraction form
    22,473.40/31,019.46 = 13,045/x
  3. Step 3: Cross multiply
    22,473.40x = 31,019.46 × 13,045
  4. Step 4: Simplify right side
    22,473.40x = 404,648,855.70
  5. Step 5: Solve for x
    x = 404,648,855.70/22,473.40
  6. Step 6: Final answer
    x = 18,005.68

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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.